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Finding the Fourth Proportional to 9,986,856.62, 13,781,857.47 and 5,636,855.30

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Solution

The fourth proportional to 9,986,856.62, 13,781,857.47 and 5,636,855.30 is: 7,778,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986,856.62 : 13,781,857.47 = 5,636,855.30 : x
  2. Step 2: Convert to fraction form
    9,986,856.62/13,781,857.47 = 5,636,855.30/x
  3. Step 3: Cross multiply
    9,986,856.62x = 13,781,857.47 × 5,636,855.30
  4. Step 4: Simplify right side
    9,986,856.62x = 77,686,336,323,614.09
  5. Step 5: Solve for x
    x = 77,686,336,323,614.09/9,986,856.62
  6. Step 6: Final answer
    x = 7,778,857.68

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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.