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Finding the Fourth Proportional to 9,757.69, 14,634.88 and 2,736.09

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Solution

The fourth proportional to 9,757.69, 14,634.88 and 2,736.09 is: 4,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.69 : 14,634.88 = 2,736.09 : x
  2. Step 2: Convert to fraction form
    9,757.69/14,634.88 = 2,736.09/x
  3. Step 3: Cross multiply
    9,757.69x = 14,634.88 × 2,736.09
  4. Step 4: Simplify right side
    9,757.69x = 40,042,348.82
  5. Step 5: Solve for x
    x = 40,042,348.82/9,757.69
  6. Step 6: Final answer
    x = 4,103.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.