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Finding the Fourth Proportional to 6,896.76, 9,517.44 and 3,752.88

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Solution

The fourth proportional to 6,896.76, 9,517.44 and 3,752.88 is: 5,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.76 : 9,517.44 = 3,752.88 : x
  2. Step 2: Convert to fraction form
    6,896.76/9,517.44 = 3,752.88/x
  3. Step 3: Cross multiply
    6,896.76x = 9,517.44 × 3,752.88
  4. Step 4: Simplify right side
    6,896.76x = 35,717,810.23
  5. Step 5: Solve for x
    x = 35,717,810.23/6,896.76
  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.