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Finding the Fourth Proportional to 9,082.56, 13,605.62 and 4,566

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Solution

The fourth proportional to 9,082.56, 13,605.62 and 4,566 is: 6,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.56 : 13,605.62 = 4,566 : x
  2. Step 2: Convert to fraction form
    9,082.56/13,605.62 = 4,566/x
  3. Step 3: Cross multiply
    9,082.56x = 13,605.62 × 4,566
  4. Step 4: Simplify right side
    9,082.56x = 62,123,260.92
  5. Step 5: Solve for x
    x = 62,123,260.92/9,082.56
  6. Step 6: Final answer
    x = 6,839.84

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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.