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Finding the Fourth Proportional to 9,489.21, 14,223 and 5,932.96

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Solution

The fourth proportional to 9,489.21, 14,223 and 5,932.96 is: 8,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.21 : 14,223 = 5,932.96 : x
  2. Step 2: Convert to fraction form
    9,489.21/14,223 = 5,932.96/x
  3. Step 3: Cross multiply
    9,489.21x = 14,223 × 5,932.96
  4. Step 4: Simplify right side
    9,489.21x = 84,384,490.08
  5. Step 5: Solve for x
    x = 84,384,490.08/9,489.21
  6. Step 6: Final answer
    x = 8,892.68

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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.