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Finding the Fourth Proportional to 9,591.10, 13,233.12 and 5,613.19

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Solution

The fourth proportional to 9,591.10, 13,233.12 and 5,613.19 is: 7,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.10 : 13,233.12 = 5,613.19 : x
  2. Step 2: Convert to fraction form
    9,591.10/13,233.12 = 5,613.19/x
  3. Step 3: Cross multiply
    9,591.10x = 13,233.12 × 5,613.19
  4. Step 4: Simplify right side
    9,591.10x = 74,280,016.85
  5. Step 5: Solve for x
    x = 74,280,016.85/9,591.10
  6. Step 6: Final answer
    x = 7,744.68

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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.