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Finding the Fourth Proportional to 9,871.67, 14,819.09 and 7,793.08

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Solution

The fourth proportional to 9,871.67, 14,819.09 and 7,793.08 is: 11,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.67 : 14,819.09 = 7,793.08 : x
  2. Step 2: Convert to fraction form
    9,871.67/14,819.09 = 7,793.08/x
  3. Step 3: Cross multiply
    9,871.67x = 14,819.09 × 7,793.08
  4. Step 4: Simplify right side
    9,871.67x = 115,486,277.88
  5. Step 5: Solve for x
    x = 115,486,277.88/9,871.67
  6. Step 6: Final answer
    x = 11,698.75

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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.