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Finding the Fourth Proportional to 6,942.26, 9,581.33 and 3,958.38

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Solution

The fourth proportional to 6,942.26, 9,581.33 and 3,958.38 is: 5,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.26 : 9,581.33 = 3,958.38 : x
  2. Step 2: Convert to fraction form
    6,942.26/9,581.33 = 3,958.38/x
  3. Step 3: Cross multiply
    6,942.26x = 9,581.33 × 3,958.38
  4. Step 4: Simplify right side
    6,942.26x = 37,926,545.05
  5. Step 5: Solve for x
    x = 37,926,545.05/6,942.26
  6. Step 6: Final answer
    x = 5,463.14

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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.