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An electrostatic precipitator (ESP) with $5600\:m^2$ of collector plate area is $96$ percent efficient in treating $185\:m^3/s$ of flue gas from a $200$ MW thermal power plant. It was found that in order to achieve $97$ percent efficiency, the collector plate area should be $6100\:m^2$. In order to increase the efficiency to $99$ percent, the ESP collector plate area (expressed in $m^2$) would be ______
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