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Finding the Fourth Proportional to 6,511.97, 9,732.21 and 4,760.66

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Solution

The fourth proportional to 6,511.97, 9,732.21 and 4,760.66 is: 7,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.97 : 9,732.21 = 4,760.66 : x
  2. Step 2: Convert to fraction form
    6,511.97/9,732.21 = 4,760.66/x
  3. Step 3: Cross multiply
    6,511.97x = 9,732.21 × 4,760.66
  4. Step 4: Simplify right side
    6,511.97x = 46,331,694.20
  5. Step 5: Solve for x
    x = 46,331,694.20/6,511.97
  6. Step 6: Final answer
    x = 7,114.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.