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Finding the Fourth Proportional to 9,677.69, 13,352.87 and 6,139.61

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Solution

The fourth proportional to 9,677.69, 13,352.87 and 6,139.61 is: 8,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.69 : 13,352.87 = 6,139.61 : x
  2. Step 2: Convert to fraction form
    9,677.69/13,352.87 = 6,139.61/x
  3. Step 3: Cross multiply
    9,677.69x = 13,352.87 × 6,139.61
  4. Step 4: Simplify right side
    9,677.69x = 81,981,414.18
  5. Step 5: Solve for x
    x = 81,981,414.18/9,677.69
  6. Step 6: Final answer
    x = 8,471.18

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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.