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Finding the Fourth Proportional to 9,115.97, 12,579.95 and 5,082.74

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Solution

The fourth proportional to 9,115.97, 12,579.95 and 5,082.74 is: 7,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.97 : 12,579.95 = 5,082.74 : x
  2. Step 2: Convert to fraction form
    9,115.97/12,579.95 = 5,082.74/x
  3. Step 3: Cross multiply
    9,115.97x = 12,579.95 × 5,082.74
  4. Step 4: Simplify right side
    9,115.97x = 63,940,526.75
  5. Step 5: Solve for x
    x = 63,940,526.75/9,115.97
  6. Step 6: Final answer
    x = 7,014.13

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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.