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Finding the Fourth Proportional to 6,732.97, 9,292.16 and 4,082.24

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Solution

The fourth proportional to 6,732.97, 9,292.16 and 4,082.24 is: 5,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.97 : 9,292.16 = 4,082.24 : x
  2. Step 2: Convert to fraction form
    6,732.97/9,292.16 = 4,082.24/x
  3. Step 3: Cross multiply
    6,732.97x = 9,292.16 × 4,082.24
  4. Step 4: Simplify right side
    6,732.97x = 37,932,860.67
  5. Step 5: Solve for x
    x = 37,932,860.67/6,732.97
  6. Step 6: Final answer
    x = 5,633.90

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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.