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Finding the Fourth Proportional to 9,578,748, 13,229,668.50 and 6,976,844.04

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Solution

The fourth proportional to 9,578,748, 13,229,668.50 and 6,976,844.04 is: 9,636,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578,748 : 13,229,668.50 = 6,976,844.04 : x
  2. Step 2: Convert to fraction form
    9,578,748/13,229,668.50 = 6,976,844.04/x
  3. Step 3: Cross multiply
    9,578,748x = 13,229,668.50 × 6,976,844.04
  4. Step 4: Simplify right side
    9,578,748x = 92,301,333,825,400.73
  5. Step 5: Solve for x
    x = 92,301,333,825,400.73/9,578,748
  6. Step 6: Final answer
    x = 9,636,054.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.