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Finding the Fourth Proportional to 6,469.56, 8,924.49 and 5,343.84

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Solution

The fourth proportional to 6,469.56, 8,924.49 and 5,343.84 is: 7,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.56 : 8,924.49 = 5,343.84 : x
  2. Step 2: Convert to fraction form
    6,469.56/8,924.49 = 5,343.84/x
  3. Step 3: Cross multiply
    6,469.56x = 8,924.49 × 5,343.84
  4. Step 4: Simplify right side
    6,469.56x = 47,691,046.64
  5. Step 5: Solve for x
    x = 47,691,046.64/6,469.56
  6. Step 6: Final answer
    x = 7,371.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.