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Finding the Fourth Proportional to 9,500.50, 14,243.07 and 3,958.02

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Solution

The fourth proportional to 9,500.50, 14,243.07 and 3,958.02 is: 5,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.50 : 14,243.07 = 3,958.02 : x
  2. Step 2: Convert to fraction form
    9,500.50/14,243.07 = 3,958.02/x
  3. Step 3: Cross multiply
    9,500.50x = 14,243.07 × 3,958.02
  4. Step 4: Simplify right side
    9,500.50x = 56,374,355.92
  5. Step 5: Solve for x
    x = 56,374,355.92/9,500.50
  6. Step 6: Final answer
    x = 5,933.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.