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Finding the Fourth Proportional to 6,940.61, 9,578.04 and 3,796.80

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Solution

The fourth proportional to 6,940.61, 9,578.04 and 3,796.80 is: 5,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.61 : 9,578.04 = 3,796.80 : x
  2. Step 2: Convert to fraction form
    6,940.61/9,578.04 = 3,796.80/x
  3. Step 3: Cross multiply
    6,940.61x = 9,578.04 × 3,796.80
  4. Step 4: Simplify right side
    6,940.61x = 36,365,902.27
  5. Step 5: Solve for x
    x = 36,365,902.27/6,940.61
  6. Step 6: Final answer
    x = 5,239.58

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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.