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Finding the Fourth Proportional to 9,614.82, 14,431.22 and 5,924.28

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Solution

The fourth proportional to 9,614.82, 14,431.22 and 5,924.28 is: 8,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.82 : 14,431.22 = 5,924.28 : x
  2. Step 2: Convert to fraction form
    9,614.82/14,431.22 = 5,924.28/x
  3. Step 3: Cross multiply
    9,614.82x = 14,431.22 × 5,924.28
  4. Step 4: Simplify right side
    9,614.82x = 85,494,588.02
  5. Step 5: Solve for x
    x = 85,494,588.02/9,614.82
  6. Step 6: Final answer
    x = 8,891.96

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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.