Based on 2.93~fb$^{-1}$ $e^+e^-$ collision data taken at center-of-mass energy of 3.773 GeV by the BESIII detector, we report the measurements of the absolute branching fractions of $D^0to K^+K^-pi^0pi^0$, $D^0to K^0_SK^0_Spi^+pi^-$, $D^0to K^0_SK^-pi^+pi^0$, $D^0to K^0_SK^+pi^-pi^0$, $D^+to K^+K^-pi^+pi^0$, $D^+to K^0_SK^+pi^0pi^0$, $D^+to K^0_SK^-pi^+pi^+$, $D^+to K^0_SK^+pi^+pi^-$, and $D^+to K^0_SK^0_Spi^+pi^0$. The decays $D^0to K^+K^-pi^0pi^0$, $D^0to K^0_SK^-pi^+pi^0$, $D^0to K^0_SK^+pi^-pi^0$, $D^+to K^0_SK^0_Spi^+pi^0$, and $D^+to K^0_SK^+pi^0pi^0$ are observed for the first time. The branching fractions of the decays $D^0to K^0_SK^0_Spi^+pi^-$, $D^+to K^+K^-pi^+pi^0$, $D^+to K^0_SK^-pi^+pi^+$, and $D^+to K^0_SK^+pi^+pi^-$ are measured with improved precision compared to the world-average values.
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