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Finding the Fourth Proportional to 7,201.64, 9,938.25 and 4,217.33

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Solution

The fourth proportional to 7,201.64, 9,938.25 and 4,217.33 is: 5,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.64 : 9,938.25 = 4,217.33 : x
  2. Step 2: Convert to fraction form
    7,201.64/9,938.25 = 4,217.33/x
  3. Step 3: Cross multiply
    7,201.64x = 9,938.25 × 4,217.33
  4. Step 4: Simplify right side
    7,201.64x = 41,912,879.87
  5. Step 5: Solve for x
    x = 41,912,879.87/7,201.64
  6. Step 6: Final answer
    x = 5,819.91

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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.