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Finding the Fourth Proportional to 9,668.08, 13,348.38 and 7,425.96

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Solution

The fourth proportional to 9,668.08, 13,348.38 and 7,425.96 is: 10,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.08 : 13,348.38 = 7,425.96 : x
  2. Step 2: Convert to fraction form
    9,668.08/13,348.38 = 7,425.96/x
  3. Step 3: Cross multiply
    9,668.08x = 13,348.38 × 7,425.96
  4. Step 4: Simplify right side
    9,668.08x = 99,124,535.94
  5. Step 5: Solve for x
    x = 99,124,535.94/9,668.08
  6. Step 6: Final answer
    x = 10,252.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.