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Finding the Fourth Proportional to 6,727.32, 9,284.22 and 3,743.19

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Solution

The fourth proportional to 6,727.32, 9,284.22 and 3,743.19 is: 5,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.32 : 9,284.22 = 3,743.19 : x
  2. Step 2: Convert to fraction form
    6,727.32/9,284.22 = 3,743.19/x
  3. Step 3: Cross multiply
    6,727.32x = 9,284.22 × 3,743.19
  4. Step 4: Simplify right side
    6,727.32x = 34,752,599.46
  5. Step 5: Solve for x
    x = 34,752,599.46/6,727.32
  6. Step 6: Final answer
    x = 5,165.89

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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.