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Finding the Fourth Proportional to 10,494.48, 15,659.84 and 9,562.96

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Solution

The fourth proportional to 10,494.48, 15,659.84 and 9,562.96 is: 14,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.48 : 15,659.84 = 9,562.96 : x
  2. Step 2: Convert to fraction form
    10,494.48/15,659.84 = 9,562.96/x
  3. Step 3: Cross multiply
    10,494.48x = 15,659.84 × 9,562.96
  4. Step 4: Simplify right side
    10,494.48x = 149,754,423.53
  5. Step 5: Solve for x
    x = 149,754,423.53/10,494.48
  6. Step 6: Final answer
    x = 14,269.83

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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.