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Finding the Fourth Proportional to 6,766.49, 9,339.44 and 4,115.68

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Solution

The fourth proportional to 6,766.49, 9,339.44 and 4,115.68 is: 5,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.49 : 9,339.44 = 4,115.68 : x
  2. Step 2: Convert to fraction form
    6,766.49/9,339.44 = 4,115.68/x
  3. Step 3: Cross multiply
    6,766.49x = 9,339.44 × 4,115.68
  4. Step 4: Simplify right side
    6,766.49x = 38,438,102.49
  5. Step 5: Solve for x
    x = 38,438,102.49/6,766.49
  6. Step 6: Final answer
    x = 5,680.65

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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.