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Finding the Fourth Proportional to 8,419.73, 11,614.95 and 6,426.83

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Solution

The fourth proportional to 8,419.73, 11,614.95 and 6,426.83 is: 8,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.73 : 11,614.95 = 6,426.83 : x
  2. Step 2: Convert to fraction form
    8,419.73/11,614.95 = 6,426.83/x
  3. Step 3: Cross multiply
    8,419.73x = 11,614.95 × 6,426.83
  4. Step 4: Simplify right side
    8,419.73x = 74,647,251.03
  5. Step 5: Solve for x
    x = 74,647,251.03/8,419.73
  6. Step 6: Final answer
    x = 8,865.76

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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.