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Finding the Fourth Proportional to 6,910.98, 9,537.13 and 3,767.17

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Solution

The fourth proportional to 6,910.98, 9,537.13 and 3,767.17 is: 5,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.98 : 9,537.13 = 3,767.17 : x
  2. Step 2: Convert to fraction form
    6,910.98/9,537.13 = 3,767.17/x
  3. Step 3: Cross multiply
    6,910.98x = 9,537.13 × 3,767.17
  4. Step 4: Simplify right side
    6,910.98x = 35,927,990.02
  5. Step 5: Solve for x
    x = 35,927,990.02/6,910.98
  6. Step 6: Final answer
    x = 5,198.68

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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.