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Finding the Fourth Proportional to 6,164.76, 9,225.17 and 4,517.22

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Solution

The fourth proportional to 6,164.76, 9,225.17 and 4,517.22 is: 6,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.76 : 9,225.17 = 4,517.22 : x
  2. Step 2: Convert to fraction form
    6,164.76/9,225.17 = 4,517.22/x
  3. Step 3: Cross multiply
    6,164.76x = 9,225.17 × 4,517.22
  4. Step 4: Simplify right side
    6,164.76x = 41,672,122.43
  5. Step 5: Solve for x
    x = 41,672,122.43/6,164.76
  6. Step 6: Final answer
    x = 6,759.73

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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.