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Finding the Fourth Proportional to 6,732.38, 9,288.28 and 3,898.21

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Solution

The fourth proportional to 6,732.38, 9,288.28 and 3,898.21 is: 5,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.38 : 9,288.28 = 3,898.21 : x
  2. Step 2: Convert to fraction form
    6,732.38/9,288.28 = 3,898.21/x
  3. Step 3: Cross multiply
    6,732.38x = 9,288.28 × 3,898.21
  4. Step 4: Simplify right side
    6,732.38x = 36,207,640.32
  5. Step 5: Solve for x
    x = 36,207,640.32/6,732.38
  6. Step 6: Final answer
    x = 5,378.13

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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.