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Finding the Fourth Proportional to 6,766.97, 9,337.95 and 3,934.80

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Solution

The fourth proportional to 6,766.97, 9,337.95 and 3,934.80 is: 5,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.97 : 9,337.95 = 3,934.80 : x
  2. Step 2: Convert to fraction form
    6,766.97/9,337.95 = 3,934.80/x
  3. Step 3: Cross multiply
    6,766.97x = 9,337.95 × 3,934.80
  4. Step 4: Simplify right side
    6,766.97x = 36,742,965.66
  5. Step 5: Solve for x
    x = 36,742,965.66/6,766.97
  6. Step 6: Final answer
    x = 5,429.76

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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.