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Finding the Fourth Proportional to 6,427.46, 9,641.37 and 1,747.43

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Solution

The fourth proportional to 6,427.46, 9,641.37 and 1,747.43 is: 2,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.46 : 9,641.37 = 1,747.43 : x
  2. Step 2: Convert to fraction form
    6,427.46/9,641.37 = 1,747.43/x
  3. Step 3: Cross multiply
    6,427.46x = 9,641.37 × 1,747.43
  4. Step 4: Simplify right side
    6,427.46x = 16,847,570.97
  5. Step 5: Solve for x
    x = 16,847,570.97/6,427.46
  6. Step 6: Final answer
    x = 2,621.19

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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.