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Finding the Fourth Proportional to 6,370.68, 9,551.61 and 2,422.20

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Solution

The fourth proportional to 6,370.68, 9,551.61 and 2,422.20 is: 3,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.68 : 9,551.61 = 2,422.20 : x
  2. Step 2: Convert to fraction form
    6,370.68/9,551.61 = 2,422.20/x
  3. Step 3: Cross multiply
    6,370.68x = 9,551.61 × 2,422.20
  4. Step 4: Simplify right side
    6,370.68x = 23,135,909.74
  5. Step 5: Solve for x
    x = 23,135,909.74/6,370.68
  6. Step 6: Final answer
    x = 3,631.62

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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.