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Finding the Fourth Proportional to 6,942.38, 9,578.11 and 3,956.06

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Solution

The fourth proportional to 6,942.38, 9,578.11 and 3,956.06 is: 5,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.38 : 9,578.11 = 3,956.06 : x
  2. Step 2: Convert to fraction form
    6,942.38/9,578.11 = 3,956.06/x
  3. Step 3: Cross multiply
    6,942.38x = 9,578.11 × 3,956.06
  4. Step 4: Simplify right side
    6,942.38x = 37,891,577.85
  5. Step 5: Solve for x
    x = 37,891,577.85/6,942.38
  6. Step 6: Final answer
    x = 5,458.01

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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.