In May of last year, my mother, Uncle Li and Aunt Chen jointly invested in a company at a ratio of 1:4:2. After accounting in May this year, the company's profit for distribution was 63,000 yuan. When the three of them made a joint venture, they agreed: "The company's annual profits that can be used for distribution are distributed in proportion to the individual's investment." In this way, how much profit can the mother share?
去年5月，妈妈、李叔叔和陈阿姨，他们三人按1：4：2出资合办了一个公司．今年5月经过核算，公司用于分配的盈利为6.3万元．他们三人合资时约定："公司每年可用于分配的盈利按个人出资的比例分配．"这样妈妈可以分得盈利多少元？
<gadget id="calculator">1 + 4 + 2</gadget>
<output>7</output>

<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>

<gadget id="calculator">6.3 * (1/7) * 10_000</gadget>
<output>9_000</output>

<result>9_000</result>