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Finding the Fourth Proportional to 6,426.22, 9,642.12 and 2,269.20

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Solution

The fourth proportional to 6,426.22, 9,642.12 and 2,269.20 is: 3,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.22 : 9,642.12 = 2,269.20 : x
  2. Step 2: Convert to fraction form
    6,426.22/9,642.12 = 2,269.20/x
  3. Step 3: Cross multiply
    6,426.22x = 9,642.12 × 2,269.20
  4. Step 4: Simplify right side
    6,426.22x = 21,879,898.70
  5. Step 5: Solve for x
    x = 21,879,898.70/6,426.22
  6. Step 6: Final answer
    x = 3,404.79

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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.