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Finding the Fourth Proportional to 9,500.79, 14,251.20 and 2,575.83

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Solution

The fourth proportional to 9,500.79, 14,251.20 and 2,575.83 is: 3,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.79 : 14,251.20 = 2,575.83 : x
  2. Step 2: Convert to fraction form
    9,500.79/14,251.20 = 2,575.83/x
  3. Step 3: Cross multiply
    9,500.79x = 14,251.20 × 2,575.83
  4. Step 4: Simplify right side
    9,500.79x = 36,708,668.50
  5. Step 5: Solve for x
    x = 36,708,668.50/9,500.79
  6. Step 6: Final answer
    x = 3,863.75

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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.