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John - it is a voltage stabiliser, not a relay.
It's job is to ensure that instruments like your fuel guage get a constant voltage supply unaffected by the normal fluctuations seen in an automotive electrical system.
I believe it should output around 10 volts. Obviously yours is dead.
I can't help with a supplier in the USA, although I would have thought that any decent auto-electrician should know what it is. You could also try an instrument supplier - these things are commonplace.
If you get really stuck, email me and I could get one here in the UK, but I think you should be able to source one more locally than that!
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Wilf
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