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Finding the Fourth Proportional to 9,515.97, 13,123.36 and 8,171.16

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Solution

The fourth proportional to 9,515.97, 13,123.36 and 8,171.16 is: 11,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.97 : 13,123.36 = 8,171.16 : x
  2. Step 2: Convert to fraction form
    9,515.97/13,123.36 = 8,171.16/x
  3. Step 3: Cross multiply
    9,515.97x = 13,123.36 × 8,171.16
  4. Step 4: Simplify right side
    9,515.97x = 107,233,035.30
  5. Step 5: Solve for x
    x = 107,233,035.30/9,515.97
  6. Step 6: Final answer
    x = 11,268.74

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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.