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Finding the Fourth Proportional to 6,139.17, 9,217.98 and 3,684.97

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Solution

The fourth proportional to 6,139.17, 9,217.98 and 3,684.97 is: 5,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.17 : 9,217.98 = 3,684.97 : x
  2. Step 2: Convert to fraction form
    6,139.17/9,217.98 = 3,684.97/x
  3. Step 3: Cross multiply
    6,139.17x = 9,217.98 × 3,684.97
  4. Step 4: Simplify right side
    6,139.17x = 33,967,915.25
  5. Step 5: Solve for x
    x = 33,967,915.25/6,139.17
  6. Step 6: Final answer
    x = 5,532.99

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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.