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Finding the Fourth Proportional to 10,613.27, 14,612.85 and 9,629.12

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Solution

The fourth proportional to 10,613.27, 14,612.85 and 9,629.12 is: 13,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.27 : 14,612.85 = 9,629.12 : x
  2. Step 2: Convert to fraction form
    10,613.27/14,612.85 = 9,629.12/x
  3. Step 3: Cross multiply
    10,613.27x = 14,612.85 × 9,629.12
  4. Step 4: Simplify right side
    10,613.27x = 140,708,813.13
  5. Step 5: Solve for x
    x = 140,708,813.13/10,613.27
  6. Step 6: Final answer
    x = 13,257.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.