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Finding the Fourth Proportional to 6,896.46, 9,517.11 and 3,752.64

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Solution

The fourth proportional to 6,896.46, 9,517.11 and 3,752.64 is: 5,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.46 : 9,517.11 = 3,752.64 : x
  2. Step 2: Convert to fraction form
    6,896.46/9,517.11 = 3,752.64/x
  3. Step 3: Cross multiply
    6,896.46x = 9,517.11 × 3,752.64
  4. Step 4: Simplify right side
    6,896.46x = 35,714,287.67
  5. Step 5: Solve for x
    x = 35,714,287.67/6,896.46
  6. Step 6: Final answer
    x = 5,178.64

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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.