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Finding the Fourth Proportional to 6,910.80, 9,537.12 and 3,767.28

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Solution

The fourth proportional to 6,910.80, 9,537.12 and 3,767.28 is: 5,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.80 : 9,537.12 = 3,767.28 : x
  2. Step 2: Convert to fraction form
    6,910.80/9,537.12 = 3,767.28/x
  3. Step 3: Cross multiply
    6,910.80x = 9,537.12 × 3,767.28
  4. Step 4: Simplify right side
    6,910.80x = 35,929,001.43
  5. Step 5: Solve for x
    x = 35,929,001.43/6,910.80
  6. Step 6: Final answer
    x = 5,198.96

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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.