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Finding the Fourth Proportional to 6,517.96, 9,772.86 and 2,818.18

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Solution

The fourth proportional to 6,517.96, 9,772.86 and 2,818.18 is: 4,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.96 : 9,772.86 = 2,818.18 : x
  2. Step 2: Convert to fraction form
    6,517.96/9,772.86 = 2,818.18/x
  3. Step 3: Cross multiply
    6,517.96x = 9,772.86 × 2,818.18
  4. Step 4: Simplify right side
    6,517.96x = 27,541,678.59
  5. Step 5: Solve for x
    x = 27,541,678.59/6,517.96
  6. Step 6: Final answer
    x = 4,225.51

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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.