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Finding the Fourth Proportional to 10,006.29, 14,924.88 and 9,428.13

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Solution

The fourth proportional to 10,006.29, 14,924.88 and 9,428.13 is: 14,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.29 : 14,924.88 = 9,428.13 : x
  2. Step 2: Convert to fraction form
    10,006.29/14,924.88 = 9,428.13/x
  3. Step 3: Cross multiply
    10,006.29x = 14,924.88 × 9,428.13
  4. Step 4: Simplify right side
    10,006.29x = 140,713,708.87
  5. Step 5: Solve for x
    x = 140,713,708.87/10,006.29
  6. Step 6: Final answer
    x = 14,062.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.