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Finding the Fourth Proportional to 6,517.28, 9,776.10 and 2,817.20

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Solution

The fourth proportional to 6,517.28, 9,776.10 and 2,817.20 is: 4,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.28 : 9,776.10 = 2,817.20 : x
  2. Step 2: Convert to fraction form
    6,517.28/9,776.10 = 2,817.20/x
  3. Step 3: Cross multiply
    6,517.28x = 9,776.10 × 2,817.20
  4. Step 4: Simplify right side
    6,517.28x = 27,541,228.92
  5. Step 5: Solve for x
    x = 27,541,228.92/6,517.28
  6. Step 6: Final answer
    x = 4,225.88

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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.