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Finding the Fourth Proportional to 9,243.69, 13,863.99 and 2,668.11

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Solution

The fourth proportional to 9,243.69, 13,863.99 and 2,668.11 is: 4,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.69 : 13,863.99 = 2,668.11 : x
  2. Step 2: Convert to fraction form
    9,243.69/13,863.99 = 2,668.11/x
  3. Step 3: Cross multiply
    9,243.69x = 13,863.99 × 2,668.11
  4. Step 4: Simplify right side
    9,243.69x = 36,990,650.36
  5. Step 5: Solve for x
    x = 36,990,650.36/9,243.69
  6. Step 6: Final answer
    x = 4,001.72

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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.