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Finding the Fourth Proportional to 6,824.81, 9,418.09 and 3,799.91

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Solution

The fourth proportional to 6,824.81, 9,418.09 and 3,799.91 is: 5,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.81 : 9,418.09 = 3,799.91 : x
  2. Step 2: Convert to fraction form
    6,824.81/9,418.09 = 3,799.91/x
  3. Step 3: Cross multiply
    6,824.81x = 9,418.09 × 3,799.91
  4. Step 4: Simplify right side
    6,824.81x = 35,787,894.37
  5. Step 5: Solve for x
    x = 35,787,894.37/6,824.81
  6. Step 6: Final answer
    x = 5,243.79

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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.