I'm having a lot of trouble finding a replacement hinge pin for our kitchen exterior door. The house was built in 1990, but all pins I find in the stores are too skinny and just rattle around. The internet hasn't offered any options, either. Any suggestions would be appreciated.

Dimensions: Length 4 1/8", Head width 1/2", pin end width 9/32"

Here's a pic for those visually inspired:Click image for larger version. 

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Thank you!