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Finding the Fourth Proportional to 9,169.89, 12,660.75 and 6,189.90

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Solution

The fourth proportional to 9,169.89, 12,660.75 and 6,189.90 is: 8,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.89 : 12,660.75 = 6,189.90 : x
  2. Step 2: Convert to fraction form
    9,169.89/12,660.75 = 6,189.90/x
  3. Step 3: Cross multiply
    9,169.89x = 12,660.75 × 6,189.90
  4. Step 4: Simplify right side
    9,169.89x = 78,368,776.43
  5. Step 5: Solve for x
    x = 78,368,776.43/9,169.89
  6. Step 6: Final answer
    x = 8,546.32

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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.