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Finding the Fourth Proportional to 6,727.38, 9,283.65 and 3,743.21

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Solution

The fourth proportional to 6,727.38, 9,283.65 and 3,743.21 is: 5,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.38 : 9,283.65 = 3,743.21 : x
  2. Step 2: Convert to fraction form
    6,727.38/9,283.65 = 3,743.21/x
  3. Step 3: Cross multiply
    6,727.38x = 9,283.65 × 3,743.21
  4. Step 4: Simplify right side
    6,727.38x = 34,750,605.10
  5. Step 5: Solve for x
    x = 34,750,605.10/6,727.38
  6. Step 6: Final answer
    x = 5,165.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.