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Finding the Fourth Proportional to 6,226.44, 9,339.90 and 1,609.56

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Solution

The fourth proportional to 6,226.44, 9,339.90 and 1,609.56 is: 2,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.44 : 9,339.90 = 1,609.56 : x
  2. Step 2: Convert to fraction form
    6,226.44/9,339.90 = 1,609.56/x
  3. Step 3: Cross multiply
    6,226.44x = 9,339.90 × 1,609.56
  4. Step 4: Simplify right side
    6,226.44x = 15,033,129.44
  5. Step 5: Solve for x
    x = 15,033,129.44/6,226.44
  6. Step 6: Final answer
    x = 2,414.40

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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.