iMac Intel 27" A1312 EMC 2374 i7 iMac powers on and chime sounds, the display can be seen to power on and remains black...

This iMac boots to hard drive and I can connect remotely with screen sharing, I run system profiler and check the...

I would start by checking your system profiler and verifying that the built in audio is recognized, then go to your system preferences and open the sound app and try to click on the sound files to verify that they either play, or do not. If the sound plays I would suspect that you have a software issue and need to restore the disk, if the sound does not play I would be suspect of a hardware failure If you can, Run techtools and scan hardware /test the audio.