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Finding the Fourth Proportional to 6,447.46, 9,662.06 and 2,745.96

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Solution

The fourth proportional to 6,447.46, 9,662.06 and 2,745.96 is: 4,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.46 : 9,662.06 = 2,745.96 : x
  2. Step 2: Convert to fraction form
    6,447.46/9,662.06 = 2,745.96/x
  3. Step 3: Cross multiply
    6,447.46x = 9,662.06 × 2,745.96
  4. Step 4: Simplify right side
    6,447.46x = 26,531,630.28
  5. Step 5: Solve for x
    x = 26,531,630.28/6,447.46
  6. Step 6: Final answer
    x = 4,115.05

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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.