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Finding the Fourth Proportional to 9,189.71, 13,766.49 and 6,060.16

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Solution

The fourth proportional to 9,189.71, 13,766.49 and 6,060.16 is: 9,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.71 : 13,766.49 = 6,060.16 : x
  2. Step 2: Convert to fraction form
    9,189.71/13,766.49 = 6,060.16/x
  3. Step 3: Cross multiply
    9,189.71x = 13,766.49 × 6,060.16
  4. Step 4: Simplify right side
    9,189.71x = 83,427,132.04
  5. Step 5: Solve for x
    x = 83,427,132.04/9,189.71
  6. Step 6: Final answer
    x = 9,078.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.