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Finding the Fourth Proportional to 9,292.29, 13,934.50 and 3,744.14

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Solution

The fourth proportional to 9,292.29, 13,934.50 and 3,744.14 is: 5,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.29 : 13,934.50 = 3,744.14 : x
  2. Step 2: Convert to fraction form
    9,292.29/13,934.50 = 3,744.14/x
  3. Step 3: Cross multiply
    9,292.29x = 13,934.50 × 3,744.14
  4. Step 4: Simplify right side
    9,292.29x = 52,172,692.05
  5. Step 5: Solve for x
    x = 52,172,692.05/9,292.29
  6. Step 6: Final answer
    x = 5,614.62

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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.