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Finding the Fourth Proportional to 9,387.02, 14,086 and 3,839.54

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Solution

The fourth proportional to 9,387.02, 14,086 and 3,839.54 is: 5,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.02 : 14,086 = 3,839.54 : x
  2. Step 2: Convert to fraction form
    9,387.02/14,086 = 3,839.54/x
  3. Step 3: Cross multiply
    9,387.02x = 14,086 × 3,839.54
  4. Step 4: Simplify right side
    9,387.02x = 54,083,760.44
  5. Step 5: Solve for x
    x = 54,083,760.44/9,387.02
  6. Step 6: Final answer
    x = 5,761.55

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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.