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Finding the Fourth Proportional to 9,082.80, 12,531 and 5,940.78

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Solution

The fourth proportional to 9,082.80, 12,531 and 5,940.78 is: 8,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.80 : 12,531 = 5,940.78 : x
  2. Step 2: Convert to fraction form
    9,082.80/12,531 = 5,940.78/x
  3. Step 3: Cross multiply
    9,082.80x = 12,531 × 5,940.78
  4. Step 4: Simplify right side
    9,082.80x = 74,443,914.18
  5. Step 5: Solve for x
    x = 74,443,914.18/9,082.80
  6. Step 6: Final answer
    x = 8,196.14

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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.