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Finding the Fourth Proportional to 9,339.68, 12,884.16 and 8,672.80

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Solution

The fourth proportional to 9,339.68, 12,884.16 and 8,672.80 is: 11,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.68 : 12,884.16 = 8,672.80 : x
  2. Step 2: Convert to fraction form
    9,339.68/12,884.16 = 8,672.80/x
  3. Step 3: Cross multiply
    9,339.68x = 12,884.16 × 8,672.80
  4. Step 4: Simplify right side
    9,339.68x = 111,741,742.85
  5. Step 5: Solve for x
    x = 111,741,742.85/9,339.68
  6. Step 6: Final answer
    x = 11,964.19

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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.