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Finding the Fourth Proportional to 9,123.13, 13,684.07 and 5,613.71

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Solution

The fourth proportional to 9,123.13, 13,684.07 and 5,613.71 is: 8,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.13 : 13,684.07 = 5,613.71 : x
  2. Step 2: Convert to fraction form
    9,123.13/13,684.07 = 5,613.71/x
  3. Step 3: Cross multiply
    9,123.13x = 13,684.07 × 5,613.71
  4. Step 4: Simplify right side
    9,123.13x = 76,818,346.21
  5. Step 5: Solve for x
    x = 76,818,346.21/9,123.13
  6. Step 6: Final answer
    x = 8,420.17

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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.