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Finding the Fourth Proportional to 6,732.38, 9,289.63 and 3,900.03

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Solution

The fourth proportional to 6,732.38, 9,289.63 and 3,900.03 is: 5,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.38 : 9,289.63 = 3,900.03 : x
  2. Step 2: Convert to fraction form
    6,732.38/9,289.63 = 3,900.03/x
  3. Step 3: Cross multiply
    6,732.38x = 9,289.63 × 3,900.03
  4. Step 4: Simplify right side
    6,732.38x = 36,229,805.73
  5. Step 5: Solve for x
    x = 36,229,805.73/6,732.38
  6. Step 6: Final answer
    x = 5,381.42

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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.