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Finding the Fourth Proportional to 7,201.50, 9,938.07 and 3,889.50

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Solution

The fourth proportional to 7,201.50, 9,938.07 and 3,889.50 is: 5,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.50 : 9,938.07 = 3,889.50 : x
  2. Step 2: Convert to fraction form
    7,201.50/9,938.07 = 3,889.50/x
  3. Step 3: Cross multiply
    7,201.50x = 9,938.07 × 3,889.50
  4. Step 4: Simplify right side
    7,201.50x = 38,654,123.27
  5. Step 5: Solve for x
    x = 38,654,123.27/7,201.50
  6. Step 6: Final answer
    x = 5,367.51

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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.