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Finding the Fourth Proportional to 9,668.97, 13,344.28 and 5,421.17

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Solution

The fourth proportional to 9,668.97, 13,344.28 and 5,421.17 is: 7,481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.97 : 13,344.28 = 5,421.17 : x
  2. Step 2: Convert to fraction form
    9,668.97/13,344.28 = 5,421.17/x
  3. Step 3: Cross multiply
    9,668.97x = 13,344.28 × 5,421.17
  4. Step 4: Simplify right side
    9,668.97x = 72,341,630.22
  5. Step 5: Solve for x
    x = 72,341,630.22/9,668.97
  6. Step 6: Final answer
    x = 7,481.83

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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.