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Finding the Fourth Proportional to 6,224.38, 9,336.46 and 1,544.38

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Solution

The fourth proportional to 6,224.38, 9,336.46 and 1,544.38 is: 2,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.38 : 9,336.46 = 1,544.38 : x
  2. Step 2: Convert to fraction form
    6,224.38/9,336.46 = 1,544.38/x
  3. Step 3: Cross multiply
    6,224.38x = 9,336.46 × 1,544.38
  4. Step 4: Simplify right side
    6,224.38x = 14,419,042.09
  5. Step 5: Solve for x
    x = 14,419,042.09/6,224.38
  6. Step 6: Final answer
    x = 2,316.54

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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.