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Finding the Fourth Proportional to 9,668.16, 13,344.48 and 5,940

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Solution

The fourth proportional to 9,668.16, 13,344.48 and 5,940 is: 8,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.16 : 13,344.48 = 5,940 : x
  2. Step 2: Convert to fraction form
    9,668.16/13,344.48 = 5,940/x
  3. Step 3: Cross multiply
    9,668.16x = 13,344.48 × 5,940
  4. Step 4: Simplify right side
    9,668.16x = 79,266,211.20
  5. Step 5: Solve for x
    x = 79,266,211.20/9,668.16
  6. Step 6: Final answer
    x = 8,198.69

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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.