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Finding the Fourth Proportional to 8,394.93, 11,567.91 and 6,494.97

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Solution

The fourth proportional to 8,394.93, 11,567.91 and 6,494.97 is: 8,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.93 : 11,567.91 = 6,494.97 : x
  2. Step 2: Convert to fraction form
    8,394.93/11,567.91 = 6,494.97/x
  3. Step 3: Cross multiply
    8,394.93x = 11,567.91 × 6,494.97
  4. Step 4: Simplify right side
    8,394.93x = 75,133,195.94
  5. Step 5: Solve for x
    x = 75,133,195.94/8,394.93
  6. Step 6: Final answer
    x = 8,949.83

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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.