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Dust extinction can be determined from the number of distant field galaxiesseen through a spiral disk. To calibrate this number for the crowding andconfusion introduced by the foreground image, Gonzalez et al.(1998) andHolwerda et al. (2005) developed the ``Synthetic Field Method'' (SFM), whichanalyses synthetic fields constructed by adding various deep exposures ofunobstructed background fields to the candidate foreground galaxy field.  The advantage of the SFM is that it gives the average opacity for area ofgalaxy disk without assumptions about either the distribution of absorbers orof the disk starlight. However it is limited by low statistics of the survivingfield galaxies, hence the need to combine a larger sample of fields. This paperpresents the first results for a sample of 32 deep HST/WFPC2 archival fields of29 spirals.  The radial profiles of average dust extinction in spiral galaxies based oncalibrated counts of distant field galaxies is presented here, both forindividual galaxies as well as for composites from our sample. The effects ofinclination, spiral arms and Hubble type on the radial extinction profile arediscussed. (Abbreviated)Comment: 43 pages, 16 figures, 3 tables, accepted for publication in the  Astronomical Journal, (typos, table update, updates abstract

The Opacity of Spiral Galaxy Disks. IV. Radial Extinction Profiles from Counts of Distant Galaxies Seen through Foreground Disks