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Finding the Fourth Proportional to 6,727.38, 9,283.84 and 3,743.34

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Solution

The fourth proportional to 6,727.38, 9,283.84 and 3,743.34 is: 5,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.38 : 9,283.84 = 3,743.34 : x
  2. Step 2: Convert to fraction form
    6,727.38/9,283.84 = 3,743.34/x
  3. Step 3: Cross multiply
    6,727.38x = 9,283.84 × 3,743.34
  4. Step 4: Simplify right side
    6,727.38x = 34,752,574.12
  5. Step 5: Solve for x
    x = 34,752,574.12/6,727.38
  6. Step 6: Final answer
    x = 5,165.84

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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.