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Finding the Fourth Proportional to 6,815.44, 9,403.93 and 3,982.27

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Solution

The fourth proportional to 6,815.44, 9,403.93 and 3,982.27 is: 5,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.44 : 9,403.93 = 3,982.27 : x
  2. Step 2: Convert to fraction form
    6,815.44/9,403.93 = 3,982.27/x
  3. Step 3: Cross multiply
    6,815.44x = 9,403.93 × 3,982.27
  4. Step 4: Simplify right side
    6,815.44x = 37,448,969.79
  5. Step 5: Solve for x
    x = 37,448,969.79/6,815.44
  6. Step 6: Final answer
    x = 5,494.72

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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.