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Finding the Fourth Proportional to 7,102.92, 9,801.50 and 3,958.50

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Solution

The fourth proportional to 7,102.92, 9,801.50 and 3,958.50 is: 5,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.92 : 9,801.50 = 3,958.50 : x
  2. Step 2: Convert to fraction form
    7,102.92/9,801.50 = 3,958.50/x
  3. Step 3: Cross multiply
    7,102.92x = 9,801.50 × 3,958.50
  4. Step 4: Simplify right side
    7,102.92x = 38,799,217.96
  5. Step 5: Solve for x
    x = 38,799,217.96/7,102.92
  6. Step 6: Final answer
    x = 5,462.43

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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.