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Finding the Fourth Proportional to 9,613.59, 14,335.53 and 9,270.96

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Solution

The fourth proportional to 9,613.59, 14,335.53 and 9,270.96 is: 13,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.59 : 14,335.53 = 9,270.96 : x
  2. Step 2: Convert to fraction form
    9,613.59/14,335.53 = 9,270.96/x
  3. Step 3: Cross multiply
    9,613.59x = 14,335.53 × 9,270.96
  4. Step 4: Simplify right side
    9,613.59x = 132,904,125.21
  5. Step 5: Solve for x
    x = 132,904,125.21/9,613.59
  6. Step 6: Final answer
    x = 13,824.61

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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.