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Finding the Fourth Proportional to 6,244.70, 9,362.44 and 3,778.97

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Solution

The fourth proportional to 6,244.70, 9,362.44 and 3,778.97 is: 5,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.70 : 9,362.44 = 3,778.97 : x
  2. Step 2: Convert to fraction form
    6,244.70/9,362.44 = 3,778.97/x
  3. Step 3: Cross multiply
    6,244.70x = 9,362.44 × 3,778.97
  4. Step 4: Simplify right side
    6,244.70x = 35,380,369.21
  5. Step 5: Solve for x
    x = 35,380,369.21/6,244.70
  6. Step 6: Final answer
    x = 5,665.67

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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.