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Finding the Fourth Proportional to 10,424.97, 14,387.22 and 6,882.03

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Solution

The fourth proportional to 10,424.97, 14,387.22 and 6,882.03 is: 9,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.97 : 14,387.22 = 6,882.03 : x
  2. Step 2: Convert to fraction form
    10,424.97/14,387.22 = 6,882.03/x
  3. Step 3: Cross multiply
    10,424.97x = 14,387.22 × 6,882.03
  4. Step 4: Simplify right side
    10,424.97x = 99,013,279.66
  5. Step 5: Solve for x
    x = 99,013,279.66/10,424.97
  6. Step 6: Final answer
    x = 9,497.70

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