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Finding the Fourth Proportional to 9,668.28, 13,344.03 and 5,689.20

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Solution

The fourth proportional to 9,668.28, 13,344.03 and 5,689.20 is: 7,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.28 : 13,344.03 = 5,689.20 : x
  2. Step 2: Convert to fraction form
    9,668.28/13,344.03 = 5,689.20/x
  3. Step 3: Cross multiply
    9,668.28x = 13,344.03 × 5,689.20
  4. Step 4: Simplify right side
    9,668.28x = 75,916,855.48
  5. Step 5: Solve for x
    x = 75,916,855.48/9,668.28
  6. Step 6: Final answer
    x = 7,852.16

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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.