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Finding the Fourth Proportional to 6,725.38, 9,282.24 and 3,892.33

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Solution

The fourth proportional to 6,725.38, 9,282.24 and 3,892.33 is: 5,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.38 : 9,282.24 = 3,892.33 : x
  2. Step 2: Convert to fraction form
    6,725.38/9,282.24 = 3,892.33/x
  3. Step 3: Cross multiply
    6,725.38x = 9,282.24 × 3,892.33
  4. Step 4: Simplify right side
    6,725.38x = 36,129,541.22
  5. Step 5: Solve for x
    x = 36,129,541.22/6,725.38
  6. Step 6: Final answer
    x = 5,372.12

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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.