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Finding the Fourth Proportional to 6,183.19, 9,219.63 and 5,496.31

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Solution

The fourth proportional to 6,183.19, 9,219.63 and 5,496.31 is: 8,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.19 : 9,219.63 = 5,496.31 : x
  2. Step 2: Convert to fraction form
    6,183.19/9,219.63 = 5,496.31/x
  3. Step 3: Cross multiply
    6,183.19x = 9,219.63 × 5,496.31
  4. Step 4: Simplify right side
    6,183.19x = 50,673,944.57
  5. Step 5: Solve for x
    x = 50,673,944.57/6,183.19
  6. Step 6: Final answer
    x = 8,195.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.