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Finding the Fourth Proportional to 6,896.79, 9,517.26 and 3,752.97

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Solution

The fourth proportional to 6,896.79, 9,517.26 and 3,752.97 is: 5,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.79 : 9,517.26 = 3,752.97 : x
  2. Step 2: Convert to fraction form
    6,896.79/9,517.26 = 3,752.97/x
  3. Step 3: Cross multiply
    6,896.79x = 9,517.26 × 3,752.97
  4. Step 4: Simplify right side
    6,896.79x = 35,717,991.26
  5. Step 5: Solve for x
    x = 35,717,991.26/6,896.79
  6. Step 6: Final answer
    x = 5,178.93

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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.