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Finding the Fourth Proportional to 10,331.25, 15,553.09 and 9,412.71

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Solution

The fourth proportional to 10,331.25, 15,553.09 and 9,412.71 is: 14,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.25 : 15,553.09 = 9,412.71 : x
  2. Step 2: Convert to fraction form
    10,331.25/15,553.09 = 9,412.71/x
  3. Step 3: Cross multiply
    10,331.25x = 15,553.09 × 9,412.71
  4. Step 4: Simplify right side
    10,331.25x = 146,396,725.77
  5. Step 5: Solve for x
    x = 146,396,725.77/10,331.25
  6. Step 6: Final answer
    x = 14,170.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.