Importing multiple access files into one destination access file

I have numerous Access files with four tables each needing to be imported into one Access file with the same table structures. The four tables each have the same structure per database. I need a very fast procedure to do this. Append queries will be too slow. Is there a way using VBA to call each new table and append the four tables for each database into the destination table? I'm using bat files, macros, and queries now. This process still is tending to be kinda lengthy. Can anyone help or lead me in the right direction?

KT

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