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Finding the Fourth Proportional to 9,560.38, 13,202.04 and 7,198.42

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Solution

The fourth proportional to 9,560.38, 13,202.04 and 7,198.42 is: 9,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.38 : 13,202.04 = 7,198.42 : x
  2. Step 2: Convert to fraction form
    9,560.38/13,202.04 = 7,198.42/x
  3. Step 3: Cross multiply
    9,560.38x = 13,202.04 × 7,198.42
  4. Step 4: Simplify right side
    9,560.38x = 95,033,828.78
  5. Step 5: Solve for x
    x = 95,033,828.78/9,560.38
  6. Step 6: Final answer
    x = 9,940.38

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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.