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Finding the Fourth Proportional to 9,251.99, 12,769.25 and 6,877.73

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Solution

The fourth proportional to 9,251.99, 12,769.25 and 6,877.73 is: 9,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.99 : 12,769.25 = 6,877.73 : x
  2. Step 2: Convert to fraction form
    9,251.99/12,769.25 = 6,877.73/x
  3. Step 3: Cross multiply
    9,251.99x = 12,769.25 × 6,877.73
  4. Step 4: Simplify right side
    9,251.99x = 87,823,453.80
  5. Step 5: Solve for x
    x = 87,823,453.80/9,251.99
  6. Step 6: Final answer
    x = 9,492.39

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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.