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Finding the Fourth Proportional to 7,183.41, 9,914.30 and 4,198.67

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Solution

The fourth proportional to 7,183.41, 9,914.30 and 4,198.67 is: 5,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.41 : 9,914.30 = 4,198.67 : x
  2. Step 2: Convert to fraction form
    7,183.41/9,914.30 = 4,198.67/x
  3. Step 3: Cross multiply
    7,183.41x = 9,914.30 × 4,198.67
  4. Step 4: Simplify right side
    7,183.41x = 41,626,873.98
  5. Step 5: Solve for x
    x = 41,626,873.98/7,183.41
  6. Step 6: Final answer
    x = 5,794.86

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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.