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Finding the Fourth Proportional to 9,617.81, 13,242.97 and 8,198.31

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Solution

The fourth proportional to 9,617.81, 13,242.97 and 8,198.31 is: 11,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.81 : 13,242.97 = 8,198.31 : x
  2. Step 2: Convert to fraction form
    9,617.81/13,242.97 = 8,198.31/x
  3. Step 3: Cross multiply
    9,617.81x = 13,242.97 × 8,198.31
  4. Step 4: Simplify right side
    9,617.81x = 108,569,912.68
  5. Step 5: Solve for x
    x = 108,569,912.68/9,617.81
  6. Step 6: Final answer
    x = 11,288.43

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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.