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Finding the Fourth Proportional to 9,757.67, 14,618.88 and 8,207.33

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Solution

The fourth proportional to 9,757.67, 14,618.88 and 8,207.33 is: 12,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.67 : 14,618.88 = 8,207.33 : x
  2. Step 2: Convert to fraction form
    9,757.67/14,618.88 = 8,207.33/x
  3. Step 3: Cross multiply
    9,757.67x = 14,618.88 × 8,207.33
  4. Step 4: Simplify right side
    9,757.67x = 119,981,899.30
  5. Step 5: Solve for x
    x = 119,981,899.30/9,757.67
  6. Step 6: Final answer
    x = 12,296.17

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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.