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Finding the Fourth Proportional to 9,613.31, 14,410.13 and 6,105.87

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Solution

The fourth proportional to 9,613.31, 14,410.13 and 6,105.87 is: 9,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.31 : 14,410.13 = 6,105.87 : x
  2. Step 2: Convert to fraction form
    9,613.31/14,410.13 = 6,105.87/x
  3. Step 3: Cross multiply
    9,613.31x = 14,410.13 × 6,105.87
  4. Step 4: Simplify right side
    9,613.31x = 87,986,349.93
  5. Step 5: Solve for x
    x = 87,986,349.93/9,613.31
  6. Step 6: Final answer
    x = 9,152.56

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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.