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Finding the Fourth Proportional to 6,766, 9,337.20 and 3,971.44

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Solution

The fourth proportional to 6,766, 9,337.20 and 3,971.44 is: 5,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766 : 9,337.20 = 3,971.44 : x
  2. Step 2: Convert to fraction form
    6,766/9,337.20 = 3,971.44/x
  3. Step 3: Cross multiply
    6,766x = 9,337.20 × 3,971.44
  4. Step 4: Simplify right side
    6,766x = 37,082,129.57
  5. Step 5: Solve for x
    x = 37,082,129.57/6,766
  6. Step 6: Final answer
    x = 5,480.66

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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.