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Finding the Fourth Proportional to 9,035.38, 13,549.83 and 3,839.50

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Solution

The fourth proportional to 9,035.38, 13,549.83 and 3,839.50 is: 5,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.38 : 13,549.83 = 3,839.50 : x
  2. Step 2: Convert to fraction form
    9,035.38/13,549.83 = 3,839.50/x
  3. Step 3: Cross multiply
    9,035.38x = 13,549.83 × 3,839.50
  4. Step 4: Simplify right side
    9,035.38x = 52,024,572.29
  5. Step 5: Solve for x
    x = 52,024,572.29/9,035.38
  6. Step 6: Final answer
    x = 5,757.87

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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.