Without seeing your code I would say that this is likely due to a large fraction of missing information (FMI). You should expect an increase in the variance (and thus a reduction in significance), specifically the between imputation variance, when the FMI is high. This section of the documentation will be helpful in that regard.
SAS Help Center: Multiple Imputation Efficiency
The other possible cause is that you have a bad imputation model (in the Proc MI step) or there is non-convergence in the MI models.
SAS Help Center: Checking Convergence in MCMC
If you can post your code and LOG (including the MI, modeling and MIANALYZE steps) then there might be something more concrete I can suggest.
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