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[" Points "D,E,F" divides the sides "BC,CA," and "AB" respectively of the triangle "ABC," in "],[" the ratio "1:4,3:2" and "3:7." Moreover "K" divides "AB" in the ratio "1:3." Prove that "],[bar(AD)+bar(BE)+bar(CF)" is a constant multiple of "bar(CK)" ."]

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