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Finding the Fourth Proportional to 9,613.48, 14,422.14 and 3,770.92

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Solution

The fourth proportional to 9,613.48, 14,422.14 and 3,770.92 is: 5,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.48 : 14,422.14 = 3,770.92 : x
  2. Step 2: Convert to fraction form
    9,613.48/14,422.14 = 3,770.92/x
  3. Step 3: Cross multiply
    9,613.48x = 14,422.14 × 3,770.92
  4. Step 4: Simplify right side
    9,613.48x = 54,384,736.17
  5. Step 5: Solve for x
    x = 54,384,736.17/9,613.48
  6. Step 6: Final answer
    x = 5,657.13

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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.