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Finding the Fourth Proportional to 7,183.97, 9,912.39 and 4,199.22

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Solution

The fourth proportional to 7,183.97, 9,912.39 and 4,199.22 is: 5,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.97 : 9,912.39 = 4,199.22 : x
  2. Step 2: Convert to fraction form
    7,183.97/9,912.39 = 4,199.22/x
  3. Step 3: Cross multiply
    7,183.97x = 9,912.39 × 4,199.22
  4. Step 4: Simplify right side
    7,183.97x = 41,624,324.37
  5. Step 5: Solve for x
    x = 41,624,324.37/7,183.97
  6. Step 6: Final answer
    x = 5,794.06

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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.