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Finding the Fourth Proportional to 6,861.76, 9,469.49 and 4,172.20

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Solution

The fourth proportional to 6,861.76, 9,469.49 and 4,172.20 is: 5,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.76 : 9,469.49 = 4,172.20 : x
  2. Step 2: Convert to fraction form
    6,861.76/9,469.49 = 4,172.20/x
  3. Step 3: Cross multiply
    6,861.76x = 9,469.49 × 4,172.20
  4. Step 4: Simplify right side
    6,861.76x = 39,508,629.85
  5. Step 5: Solve for x
    x = 39,508,629.85/6,861.76
  6. Step 6: Final answer
    x = 5,757.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.