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Finding the Fourth Proportional to 6,896.69, 9,517.42 and 3,752.86

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Solution

The fourth proportional to 6,896.69, 9,517.42 and 3,752.86 is: 5,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.69 : 9,517.42 = 3,752.86 : x
  2. Step 2: Convert to fraction form
    6,896.69/9,517.42 = 3,752.86/x
  3. Step 3: Cross multiply
    6,896.69x = 9,517.42 × 3,752.86
  4. Step 4: Simplify right side
    6,896.69x = 35,717,544.82
  5. Step 5: Solve for x
    x = 35,717,544.82/6,896.69
  6. Step 6: Final answer
    x = 5,178.94

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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.