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Finding the Fourth Proportional to 9,191.36, 12,672.24 and 6,677.12

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Solution

The fourth proportional to 9,191.36, 12,672.24 and 6,677.12 is: 9,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.36 : 12,672.24 = 6,677.12 : x
  2. Step 2: Convert to fraction form
    9,191.36/12,672.24 = 6,677.12/x
  3. Step 3: Cross multiply
    9,191.36x = 12,672.24 × 6,677.12
  4. Step 4: Simplify right side
    9,191.36x = 84,614,067.15
  5. Step 5: Solve for x
    x = 84,614,067.15/9,191.36
  6. Step 6: Final answer
    x = 9,205.83

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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.