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Finding the Fourth Proportional to 6,102.18, 9,167.85 and 3,915.18

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Solution

The fourth proportional to 6,102.18, 9,167.85 and 3,915.18 is: 5,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.18 : 9,167.85 = 3,915.18 : x
  2. Step 2: Convert to fraction form
    6,102.18/9,167.85 = 3,915.18/x
  3. Step 3: Cross multiply
    6,102.18x = 9,167.85 × 3,915.18
  4. Step 4: Simplify right side
    6,102.18x = 35,893,782.96
  5. Step 5: Solve for x
    x = 35,893,782.96/6,102.18
  6. Step 6: Final answer
    x = 5,882.12

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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.