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Finding the Fourth Proportional to 9,866.28, 13,614.57 and 5,674.26

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Solution

The fourth proportional to 9,866.28, 13,614.57 and 5,674.26 is: 7,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.28 : 13,614.57 = 5,674.26 : x
  2. Step 2: Convert to fraction form
    9,866.28/13,614.57 = 5,674.26/x
  3. Step 3: Cross multiply
    9,866.28x = 13,614.57 × 5,674.26
  4. Step 4: Simplify right side
    9,866.28x = 77,252,609.97
  5. Step 5: Solve for x
    x = 77,252,609.97/9,866.28
  6. Step 6: Final answer
    x = 7,829.96

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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.