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Finding the Fourth Proportional to 6,540.21, 9,813.96 and 2,644.92

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Solution

The fourth proportional to 6,540.21, 9,813.96 and 2,644.92 is: 3,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.21 : 9,813.96 = 2,644.92 : x
  2. Step 2: Convert to fraction form
    6,540.21/9,813.96 = 2,644.92/x
  3. Step 3: Cross multiply
    6,540.21x = 9,813.96 × 2,644.92
  4. Step 4: Simplify right side
    6,540.21x = 25,957,139.08
  5. Step 5: Solve for x
    x = 25,957,139.08/6,540.21
  6. Step 6: Final answer
    x = 3,968.85

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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.