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Finding the Fourth Proportional to 6,940.82, 9,578.26 and 3,796.98

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Solution

The fourth proportional to 6,940.82, 9,578.26 and 3,796.98 is: 5,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.82 : 9,578.26 = 3,796.98 : x
  2. Step 2: Convert to fraction form
    6,940.82/9,578.26 = 3,796.98/x
  3. Step 3: Cross multiply
    6,940.82x = 9,578.26 × 3,796.98
  4. Step 4: Simplify right side
    6,940.82x = 36,368,461.65
  5. Step 5: Solve for x
    x = 36,368,461.65/6,940.82
  6. Step 6: Final answer
    x = 5,239.79

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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.