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Finding the Fourth Proportional to 6,224.14, 9,336.37 and 2,064.44

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Solution

The fourth proportional to 6,224.14, 9,336.37 and 2,064.44 is: 3,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.14 : 9,336.37 = 2,064.44 : x
  2. Step 2: Convert to fraction form
    6,224.14/9,336.37 = 2,064.44/x
  3. Step 3: Cross multiply
    6,224.14x = 9,336.37 × 2,064.44
  4. Step 4: Simplify right side
    6,224.14x = 19,274,375.68
  5. Step 5: Solve for x
    x = 19,274,375.68/6,224.14
  6. Step 6: Final answer
    x = 3,096.71

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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.