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Finding the Fourth Proportional to 6,371.75, 9,546.62 and 3,452.10

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Solution

The fourth proportional to 6,371.75, 9,546.62 and 3,452.10 is: 5,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.75 : 9,546.62 = 3,452.10 : x
  2. Step 2: Convert to fraction form
    6,371.75/9,546.62 = 3,452.10/x
  3. Step 3: Cross multiply
    6,371.75x = 9,546.62 × 3,452.10
  4. Step 4: Simplify right side
    6,371.75x = 32,955,869.64
  5. Step 5: Solve for x
    x = 32,955,869.64/6,371.75
  6. Step 6: Final answer
    x = 5,172.19

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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.