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Finding the Fourth Proportional to 9,229.68, 13,846.32 and 2,991.24

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Solution

The fourth proportional to 9,229.68, 13,846.32 and 2,991.24 is: 4,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.68 : 13,846.32 = 2,991.24 : x
  2. Step 2: Convert to fraction form
    9,229.68/13,846.32 = 2,991.24/x
  3. Step 3: Cross multiply
    9,229.68x = 13,846.32 × 2,991.24
  4. Step 4: Simplify right side
    9,229.68x = 41,417,666.24
  5. Step 5: Solve for x
    x = 41,417,666.24/9,229.68
  6. Step 6: Final answer
    x = 4,487.44

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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.