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Finding the Fourth Proportional to 6,727.59, 9,284.16 and 3,743.36

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Solution

The fourth proportional to 6,727.59, 9,284.16 and 3,743.36 is: 5,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.59 : 9,284.16 = 3,743.36 : x
  2. Step 2: Convert to fraction form
    6,727.59/9,284.16 = 3,743.36/x
  3. Step 3: Cross multiply
    6,727.59x = 9,284.16 × 3,743.36
  4. Step 4: Simplify right side
    6,727.59x = 34,753,922.76
  5. Step 5: Solve for x
    x = 34,753,922.76/6,727.59
  6. Step 6: Final answer
    x = 5,165.88

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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.