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Finding the Fourth Proportional to 9,668.20, 14,502.84 and 2,743.24

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Solution

The fourth proportional to 9,668.20, 14,502.84 and 2,743.24 is: 4,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.20 : 14,502.84 = 2,743.24 : x
  2. Step 2: Convert to fraction form
    9,668.20/14,502.84 = 2,743.24/x
  3. Step 3: Cross multiply
    9,668.20x = 14,502.84 × 2,743.24
  4. Step 4: Simplify right side
    9,668.20x = 39,784,770.80
  5. Step 5: Solve for x
    x = 39,784,770.80/9,668.20
  6. Step 6: Final answer
    x = 4,115.01

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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.