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Finding the Fourth Proportional to 7,135.38, 9,847.44 and 3,991.50

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Solution

The fourth proportional to 7,135.38, 9,847.44 and 3,991.50 is: 5,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.38 : 9,847.44 = 3,991.50 : x
  2. Step 2: Convert to fraction form
    7,135.38/9,847.44 = 3,991.50/x
  3. Step 3: Cross multiply
    7,135.38x = 9,847.44 × 3,991.50
  4. Step 4: Simplify right side
    7,135.38x = 39,306,056.76
  5. Step 5: Solve for x
    x = 39,306,056.76/7,135.38
  6. Step 6: Final answer
    x = 5,508.61

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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.