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Finding the Fourth Proportional to 6,896.63, 9,517.34 and 3,752.84

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Solution

The fourth proportional to 6,896.63, 9,517.34 and 3,752.84 is: 5,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.63 : 9,517.34 = 3,752.84 : x
  2. Step 2: Convert to fraction form
    6,896.63/9,517.34 = 3,752.84/x
  3. Step 3: Cross multiply
    6,896.63x = 9,517.34 × 3,752.84
  4. Step 4: Simplify right side
    6,896.63x = 35,717,016.04
  5. Step 5: Solve for x
    x = 35,717,016.04/6,896.63
  6. Step 6: Final answer
    x = 5,178.91

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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.