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Finding the Fourth Proportional to 9,154.68, 13,732.29 and 3,607.80

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Solution

The fourth proportional to 9,154.68, 13,732.29 and 3,607.80 is: 5,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.68 : 13,732.29 = 3,607.80 : x
  2. Step 2: Convert to fraction form
    9,154.68/13,732.29 = 3,607.80/x
  3. Step 3: Cross multiply
    9,154.68x = 13,732.29 × 3,607.80
  4. Step 4: Simplify right side
    9,154.68x = 49,543,355.86
  5. Step 5: Solve for x
    x = 49,543,355.86/9,154.68
  6. Step 6: Final answer
    x = 5,411.81

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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.