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Finding the Fourth Proportional to 9,082.49, 12,537.32 and 8,136.68

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Solution

The fourth proportional to 9,082.49, 12,537.32 and 8,136.68 is: 11,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.49 : 12,537.32 = 8,136.68 : x
  2. Step 2: Convert to fraction form
    9,082.49/12,537.32 = 8,136.68/x
  3. Step 3: Cross multiply
    9,082.49x = 12,537.32 × 8,136.68
  4. Step 4: Simplify right side
    9,082.49x = 102,012,057.53
  5. Step 5: Solve for x
    x = 102,012,057.53/9,082.49
  6. Step 6: Final answer
    x = 11,231.73

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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.