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Finding the Fourth Proportional to 6,896.44, 9,517.08 and 3,752.61

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Solution

The fourth proportional to 6,896.44, 9,517.08 and 3,752.61 is: 5,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.44 : 9,517.08 = 3,752.61 : x
  2. Step 2: Convert to fraction form
    6,896.44/9,517.08 = 3,752.61/x
  3. Step 3: Cross multiply
    6,896.44x = 9,517.08 × 3,752.61
  4. Step 4: Simplify right side
    6,896.44x = 35,713,889.58
  5. Step 5: Solve for x
    x = 35,713,889.58/6,896.44
  6. Step 6: Final answer
    x = 5,178.60

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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.