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Finding the Fourth Proportional to 6,824.98, 9,418.71 and 3,991.92

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Solution

The fourth proportional to 6,824.98, 9,418.71 and 3,991.92 is: 5,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.98 : 9,418.71 = 3,991.92 : x
  2. Step 2: Convert to fraction form
    6,824.98/9,418.71 = 3,991.92/x
  3. Step 3: Cross multiply
    6,824.98x = 9,418.71 × 3,991.92
  4. Step 4: Simplify right side
    6,824.98x = 37,598,736.82
  5. Step 5: Solve for x
    x = 37,598,736.82/6,824.98
  6. Step 6: Final answer
    x = 5,508.99

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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.