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Finding the Fourth Proportional to 9,182.79, 12,672.56 and 5,149.78

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Solution

The fourth proportional to 9,182.79, 12,672.56 and 5,149.78 is: 7,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.79 : 12,672.56 = 5,149.78 : x
  2. Step 2: Convert to fraction form
    9,182.79/12,672.56 = 5,149.78/x
  3. Step 3: Cross multiply
    9,182.79x = 12,672.56 × 5,149.78
  4. Step 4: Simplify right side
    9,182.79x = 65,260,896.04
  5. Step 5: Solve for x
    x = 65,260,896.04/9,182.79
  6. Step 6: Final answer
    x = 7,106.87

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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.