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Finding the Fourth Proportional to 6,422.82, 9,624.92 and 3,132.20

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Solution

The fourth proportional to 6,422.82, 9,624.92 and 3,132.20 is: 4,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.82 : 9,624.92 = 3,132.20 : x
  2. Step 2: Convert to fraction form
    6,422.82/9,624.92 = 3,132.20/x
  3. Step 3: Cross multiply
    6,422.82x = 9,624.92 × 3,132.20
  4. Step 4: Simplify right side
    6,422.82x = 30,147,110.64
  5. Step 5: Solve for x
    x = 30,147,110.64/6,422.82
  6. Step 6: Final answer
    x = 4,693.75

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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.