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Finding the Fourth Proportional to 6,940.77, 9,578.27 and 3,796.95

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Solution

The fourth proportional to 6,940.77, 9,578.27 and 3,796.95 is: 5,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.77 : 9,578.27 = 3,796.95 : x
  2. Step 2: Convert to fraction form
    6,940.77/9,578.27 = 3,796.95/x
  3. Step 3: Cross multiply
    6,940.77x = 9,578.27 × 3,796.95
  4. Step 4: Simplify right side
    6,940.77x = 36,368,212.28
  5. Step 5: Solve for x
    x = 36,368,212.28/6,940.77
  6. Step 6: Final answer
    x = 5,239.80

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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.