PAGE  1
000 A000000 04/30/2002
000 C000000 0000896061
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 6.1
000 J000000 A
001 A000000 NUVEEN PREMIUM INCOME MUNI FUND 4, INC.
001 B000000 811-7432
001 C000000 3129178200
002 A000000 333 WEST WACKER DRIVE
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60606
002 D020000 1286
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 N
007 B000000  0
007 C010100  1
007 C010200  2
007 C010300  3
007 C010400  4
007 C010500  5
007 C010600  6
007 C010700  7
007 C010800  8
007 C010900  9
007 C011000 10
008 A000001 NUVEEN ADVISORY CORP
008 B000001 A
008 C000001 801-12353
008 D010001 CHICAGO
008 D020001 IL
008 D030001 60606
008 D040001 1286
011 A000001 PRUDENTIAL SECURITIES INCORPORATED
011 B000001 8-12321
011 C010001 NEW YORK
011 C020001 NY
011 C030001 10292
011 A000002 ALEX BROWN & SONS, INC.
011 B000002 8-31213
011 C010002 BALTIMORE
011 C020002 MD
011 C030002 21202
011 A000003 PAINE WEBBER INCORPORATED
      PAGE  2
011 B000003 8-16267
011 C010003 NEW YORK
011 C020003 NY
011 C030003 10019
011 A000004 A G EDWARDS & SONS, INC.
011 B000004 8-13580
011 C010004 ST. LOUIS
011 C020004 MO
011 C030004 63103
011 A000005 NUVEEN INVESTMENTS
011 B000005 8-13464
011 C010005 CHICAGO
011 C020005 IL
011 C030005 60606
011 C040005 1286
011 A000006 SMITH BARNEY HARRIS UPHAM & COMPANY, INC.
011 B000006 8-08177
011 C010006 NEW YORK
011 C020006 NY
011 C030006 10105
011 A000007 LEGG MASON WOOD WALKER, INC.
011 B000007 8-15939
011 C010007 BALTIMORE
011 C020007 MD
011 C030007 21202
011 A000008 LEHMAN BROTHERS
011 B000008 8-12324
011 C010008 NEW YORK
011 C020008 NY
011 C030008 10285
011 A000009 KEMPER SECURITIES, INC.
011 B000009 8-37180
011 C010009 CHICAGO
011 C020009 IL
011 C030009 60606
012 A000001 JPMORGAN INVESTOR SERVICES CO.
012 B000001 85-11374
012 C010001 BROOKLYN
012 C020001 NY
012 C030001 11245
013 A000001 ERNST & YOUNG
013 B010001 CHICAGO
013 B020001 IL
013 B030001 60611
014 A000001 NUVEEN INVESTMENTS
014 B000001 8-13464
015 A000001 JPMORGAN CHASE BANK
015 B000001 C
015 C010001 BROOKLYN
015 C020001 NY
015 C030001 11245
      PAGE  3
015 E010001 X
015 A000002 BANK OF NEW YORK
015 B000002 S
015 C010002 NEW YORK
015 C020002 NY
015 C030002 10007
015 E010002 X
015 A000003 BANKERS TRUST COMPANY
015 B000003 S
015 C010003 NEW YORK
015 C020003 NY
015 C030003 10015
015 E010003 X
015 A000004 NATIONSBANK OF NORTH CAROLINA NA
015 B000004 S
015 C010004 CHARLOTTE
015 C020004 NC
015 C030004 28255
015 E010004 X
018  000000 Y
019 A000000 Y
019 B000000  129
019 C000000 NUVEENFUND
020 C000001      0
020 C000002      0
020 C000003      0
020 C000004      0
020 C000005      0
020 C000006      0
020 C000007      0
020 C000008      0
020 C000009      0
020 C000010      0
021  000000        0
022 A000001 GOLDMAN SACHS
022 B000001 13-5108880
022 C000001     20000
022 D000001      8000
022 A000002 J.P. MORGAN
022 B000002 13-3224016
022 C000002     13100
022 D000002     13100
022 A000003 SALOMON SMITH BARNEY
022 B000003 13-1912900
022 C000003     13697
022 D000003         0
022 A000004 SIEBERT & CO.
022 B000004 13-2639174
022 C000004      8302
022 D000004         0
022 A000005 STATE STREET BANK
      PAGE  4
022 B000005 04-1867445
022 C000005         0
022 D000005      8000
022 A000006 MERRILL LYNCH
022 B000006 13-5674085
022 C000006      7355
022 D000006         0
022 A000007 FIRST ALBANY
022 B000007 14-1391446
022 C000007      5306
022 D000007         0
022 A000008 DAIN RAUSCHER
022 B000008 41-0212020
022 C000008      4490
022 D000008         0
022 A000009 PIPER, JAFFRAY & HOPWOOD
022 B000009 41-0953246
022 C000009      4000
022 D000009         0
022 A000010 BNY CAPITAL MARKETS, INC.
022 B000010 13-3878175
022 C000010         0
022 D000010      3000
023 C000000      77243
023 D000000      79037
024  000000 N
025 D000001       0
025 D000002       0
025 D000003       0
025 D000004       0
025 D000005       0
025 D000006       0
025 D000007       0
025 D000008       0
026 A000000 N
026 B000000 N
026 C000000 N
026 D000000 Y
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
027  000000 N
028 A010000         0
028 A020000         0
028 A030000         0
028 A040000         0
028 B010000         0
028 B020000         0
028 B030000         0
      PAGE  5
028 B040000         0
028 C010000         0
028 C020000         0
028 C030000         0
028 C040000         0
028 D010000         0
028 D020000         0
028 D030000         0
028 D040000         0
028 E010000         0
028 E020000         0
028 E030000         0
028 E040000         0
028 F010000         0
028 F020000         0
028 F030000         0
028 F040000         0
028 G010000         0
028 G020000         0
028 G030000         0
028 G040000         0
028 H000000         0
030 A000000      0
030 B000000  0.00
030 C000000  0.00
031 A000000      0
031 B000000      0
032  000000      0
033  000000      0
035  000000      0
036 B000000      0
038  000000      0
042 A000000   0
042 B000000   0
042 C000000   0
042 D000000   0
042 E000000   0
042 F000000   0
042 G000000   0
042 H000000   0
043  000000      0
044  000000      0
045  000000 Y
046  000000 N
047  000000 Y
048  000000  0.000
048 A010000   125000
048 A020000 0.650
048 B010000   125000
048 B020000 0.638
048 C010000   250000
      PAGE  6
048 C020000 0.625
048 D010000   500000
048 D020000 0.613
048 E010000  1000000
048 E020000 0.600
048 F010000  3000000
048 F020000 0.588
048 G010000        0
048 G020000 0.000
048 H010000        0
048 H020000 0.000
048 I010000        0
048 I020000 0.000
048 J010000        0
048 J020000 0.000
048 K010000  5000000
048 K020000 0.575
049  000000 N
050  000000 N
051  000000 N
052  000000 N
053 A000000 Y
053 B000000 Y
053 C000000 N
054 A000000 Y
054 B000000 N
054 C000000 N
054 D000000 N
054 E000000 N
054 F000000 N
054 G000000 N
054 H000000 Y
054 I000000 N
054 J000000 Y
054 K000000 N
054 L000000 N
054 M000000 Y
054 N000000 N
054 O000000 Y
055 A000000 Y
055 B000000 N
056  000000 N
057  000000 N
058 A000000 N
059  000000 Y
060 A000000 Y
060 B000000 Y
061  000000        0
062 A000000 Y
062 B000000   0.0
062 C000000   0.0
      PAGE  7
062 D000000   0.0
062 E000000   1.4
062 F000000   0.0
062 G000000   0.0
062 H000000   0.0
062 I000000   0.0
062 J000000   0.0
062 K000000   0.0
062 L000000   0.0
062 M000000   0.0
062 N000000   0.0
062 O000000 153.8
062 P000000   0.0
062 Q000000   0.0
062 R000000   0.0
063 A000000   0
063 B000000 10.7
064 A000000 Y
064 B000000 N
066 A000000 N
067  000000 N
068 A000000 N
068 B000000 N
069  000000 N
070 A010000 Y
070 A020000 N
070 B010000 N
070 B020000 N
070 C010000 Y
070 C020000 N
070 D010000 N
070 D020000 N
070 E010000 Y
070 E020000 N
070 F010000 N
070 F020000 N
070 G010000 Y
070 G020000 N
070 H010000 N
070 H020000 N
070 I010000 N
070 I020000 N
070 J010000 Y
070 J020000 N
070 K010000 N
070 K020000 N
070 L010000 N
070 L020000 N
070 M010000 N
070 M020000 N
070 N010000 Y
      PAGE  8
070 N020000 N
070 O010000 Y
070 O020000 N
070 P010000 N
070 P020000 N
070 Q010000 N
070 Q020000 N
070 R010000 N
070 R020000 N
071 A000000     40143
071 B000000     49837
071 C000000    903182
071 D000000    4
072 A000000  6
072 B000000    26141
072 C000000        0
072 D000000        0
072 E000000        0
072 F000000     2877
072 G000000        0
072 H000000        0
072 I000000       84
072 J000000      145
072 K000000       18
072 L000000       26
072 M000000        5
072 N000000        0
072 O000000        0
072 P000000        0
072 Q000000        0
072 R000000        8
072 S000000       69
072 T000000        0
072 U000000        0
072 V000000        0
072 W000000      536
072 X000000     3768
072 Y000000       45
072 Z000000    22418
072AA000000        0
072BB000000    12617
072CC010000        0
072CC020000    21009
072DD010000    18375
072DD020000        0
072EE000000        0
073 A010000   0.4250
073 A020000   0.0000
073 B000000   0.0000
073 C000000   0.0000
074 A000000        0
      PAGE  9
074 B000000        0
074 C000000     7900
074 D000000   897440
074 E000000        0
074 F000000        0
074 G000000        0
074 H000000        0
074 I000000        0
074 J000000     2565
074 K000000        0
074 L000000    17411
074 M000000       41
074 N000000   925357
074 O000000        0
074 P000000      471
074 Q000000        0
074 R010000        0
074 R020000        0
074 R030000        0
074 R040000     3452
074 S000000   338400
074 T000000   583034
074 U010000    43237
074 U020000        0
074 V010000    13.48
074 V020000     0.00
074 W000000   0.0000
074 X000000     3930
074 Y000000    81986
075 A000000        0
075 B000000   590688
076  000000    13.00
077 A000000 N
080 C000000        0
081 B000000   0
082 B000000        0
083 B000000        0
084 B000000        0
086 A010000      0
086 A020000      0
086 B010000      0
086 B020000      0
086 C010000      0
086 C020000      0
086 D010000      0
086 D020000      0
086 E010000      0
086 E020000      0
086 F010000      0
086 F020000      0
087 A010000 COMMON STOCK
      PAGE  10
087 A020000 6706K4105
087 A030000 NPT
088 A000000 N
088 B000000 N
088 C000000 N
088 D000000 Y
SIGNATURE   STEPHEN D. FOY
TITLE       V.P. & CONTROLLER