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Finding the Fourth Proportional to 6,940.29, 9,577.82 and 3,796.47

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Solution

The fourth proportional to 6,940.29, 9,577.82 and 3,796.47 is: 5,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.29 : 9,577.82 = 3,796.47 : x
  2. Step 2: Convert to fraction form
    6,940.29/9,577.82 = 3,796.47/x
  3. Step 3: Cross multiply
    6,940.29x = 9,577.82 × 3,796.47
  4. Step 4: Simplify right side
    6,940.29x = 36,361,906.30
  5. Step 5: Solve for x
    x = 36,361,906.30/6,940.29
  6. Step 6: Final answer
    x = 5,239.25

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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.