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Finding the Fourth Proportional to 7,208.43, 9,947.15 and 4,183.64

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Solution

The fourth proportional to 7,208.43, 9,947.15 and 4,183.64 is: 5,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.43 : 9,947.15 = 4,183.64 : x
  2. Step 2: Convert to fraction form
    7,208.43/9,947.15 = 4,183.64/x
  3. Step 3: Cross multiply
    7,208.43x = 9,947.15 × 4,183.64
  4. Step 4: Simplify right side
    7,208.43x = 41,615,321.15
  5. Step 5: Solve for x
    x = 41,615,321.15/7,208.43
  6. Step 6: Final answer
    x = 5,773.14

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Why These Related Problems?

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