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Finding the Fourth Proportional to 9,166.72, 13,740.68 and 3,617.82

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Solution

The fourth proportional to 9,166.72, 13,740.68 and 3,617.82 is: 5,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.72 : 13,740.68 = 3,617.82 : x
  2. Step 2: Convert to fraction form
    9,166.72/13,740.68 = 3,617.82/x
  3. Step 3: Cross multiply
    9,166.72x = 13,740.68 × 3,617.82
  4. Step 4: Simplify right side
    9,166.72x = 49,711,306.92
  5. Step 5: Solve for x
    x = 49,711,306.92/9,166.72
  6. Step 6: Final answer
    x = 5,423.02

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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.