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Finding the Fourth Proportional to 6,940.78, 9,578.28 and 3,796.96

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Solution

The fourth proportional to 6,940.78, 9,578.28 and 3,796.96 is: 5,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.78 : 9,578.28 = 3,796.96 : x
  2. Step 2: Convert to fraction form
    6,940.78/9,578.28 = 3,796.96/x
  3. Step 3: Cross multiply
    6,940.78x = 9,578.28 × 3,796.96
  4. Step 4: Simplify right side
    6,940.78x = 36,368,346.03
  5. Step 5: Solve for x
    x = 36,368,346.03/6,940.78
  6. Step 6: Final answer
    x = 5,239.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.