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Finding the Fourth Proportional to 6,924.63, 10,393.85 and 3,229.46

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Solution

The fourth proportional to 6,924.63, 10,393.85 and 3,229.46 is: 4,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.63 : 10,393.85 = 3,229.46 : x
  2. Step 2: Convert to fraction form
    6,924.63/10,393.85 = 3,229.46/x
  3. Step 3: Cross multiply
    6,924.63x = 10,393.85 × 3,229.46
  4. Step 4: Simplify right side
    6,924.63x = 33,566,556.88
  5. Step 5: Solve for x
    x = 33,566,556.88/6,924.63
  6. Step 6: Final answer
    x = 4,847.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.