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Finding the Fourth Proportional to 9,614.82, 14,422.14 and 5,231.28

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Solution

The fourth proportional to 9,614.82, 14,422.14 and 5,231.28 is: 7,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.82 : 14,422.14 = 5,231.28 : x
  2. Step 2: Convert to fraction form
    9,614.82/14,422.14 = 5,231.28/x
  3. Step 3: Cross multiply
    9,614.82x = 14,422.14 × 5,231.28
  4. Step 4: Simplify right side
    9,614.82x = 75,446,252.54
  5. Step 5: Solve for x
    x = 75,446,252.54/9,614.82
  6. Step 6: Final answer
    x = 7,846.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.