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Finding the Fourth Proportional to 9,206.84, 13,789.92 and 5,249

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Solution

The fourth proportional to 9,206.84, 13,789.92 and 5,249 is: 7,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.84 : 13,789.92 = 5,249 : x
  2. Step 2: Convert to fraction form
    9,206.84/13,789.92 = 5,249/x
  3. Step 3: Cross multiply
    9,206.84x = 13,789.92 × 5,249
  4. Step 4: Simplify right side
    9,206.84x = 72,383,290.08
  5. Step 5: Solve for x
    x = 72,383,290.08/9,206.84
  6. Step 6: Final answer
    x = 7,861.90

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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.