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Finding the Fourth Proportional to 9,023.91, 13,538.17 and 3,757.17

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Solution

The fourth proportional to 9,023.91, 13,538.17 and 3,757.17 is: 5,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.91 : 13,538.17 = 3,757.17 : x
  2. Step 2: Convert to fraction form
    9,023.91/13,538.17 = 3,757.17/x
  3. Step 3: Cross multiply
    9,023.91x = 13,538.17 × 3,757.17
  4. Step 4: Simplify right side
    9,023.91x = 50,865,206.18
  5. Step 5: Solve for x
    x = 50,865,206.18/9,023.91
  6. Step 6: Final answer
    x = 5,636.71

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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.