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Finding the Fourth Proportional to 9,035.71, 13,553.70 and 2,462.56

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Solution

The fourth proportional to 9,035.71, 13,553.70 and 2,462.56 is: 3,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.71 : 13,553.70 = 2,462.56 : x
  2. Step 2: Convert to fraction form
    9,035.71/13,553.70 = 2,462.56/x
  3. Step 3: Cross multiply
    9,035.71x = 13,553.70 × 2,462.56
  4. Step 4: Simplify right side
    9,035.71x = 33,376,799.47
  5. Step 5: Solve for x
    x = 33,376,799.47/9,035.71
  6. Step 6: Final answer
    x = 3,693.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.