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Finding the Fourth Proportional to 9,668.62, 13,342.70 and 5,891.78

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Solution

The fourth proportional to 9,668.62, 13,342.70 and 5,891.78 is: 8,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.62 : 13,342.70 = 5,891.78 : x
  2. Step 2: Convert to fraction form
    9,668.62/13,342.70 = 5,891.78/x
  3. Step 3: Cross multiply
    9,668.62x = 13,342.70 × 5,891.78
  4. Step 4: Simplify right side
    9,668.62x = 78,612,253.01
  5. Step 5: Solve for x
    x = 78,612,253.01/9,668.62
  6. Step 6: Final answer
    x = 8,130.66

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