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Finding the Fourth Proportional to 9,082.55, 12,533.45 and 6,097.97

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Solution

The fourth proportional to 9,082.55, 12,533.45 and 6,097.97 is: 8,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.55 : 12,533.45 = 6,097.97 : x
  2. Step 2: Convert to fraction form
    9,082.55/12,533.45 = 6,097.97/x
  3. Step 3: Cross multiply
    9,082.55x = 12,533.45 × 6,097.97
  4. Step 4: Simplify right side
    9,082.55x = 76,428,508.94
  5. Step 5: Solve for x
    x = 76,428,508.94/9,082.55
  6. Step 6: Final answer
    x = 8,414.88

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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.