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Finding the Fourth Proportional to 6,337.92, 9,508.20 and 2,443.44

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Solution

The fourth proportional to 6,337.92, 9,508.20 and 2,443.44 is: 3,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.92 : 9,508.20 = 2,443.44 : x
  2. Step 2: Convert to fraction form
    6,337.92/9,508.20 = 2,443.44/x
  3. Step 3: Cross multiply
    6,337.92x = 9,508.20 × 2,443.44
  4. Step 4: Simplify right side
    6,337.92x = 23,232,716.21
  5. Step 5: Solve for x
    x = 23,232,716.21/6,337.92
  6. Step 6: Final answer
    x = 3,665.67

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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.