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Finding the Fourth Proportional to 7,201.68, 9,938.49 and 3,971.61

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Solution

The fourth proportional to 7,201.68, 9,938.49 and 3,971.61 is: 5,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.68 : 9,938.49 = 3,971.61 : x
  2. Step 2: Convert to fraction form
    7,201.68/9,938.49 = 3,971.61/x
  3. Step 3: Cross multiply
    7,201.68x = 9,938.49 × 3,971.61
  4. Step 4: Simplify right side
    7,201.68x = 39,471,806.27
  5. Step 5: Solve for x
    x = 39,471,806.27/7,201.68
  6. Step 6: Final answer
    x = 5,480.92

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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.