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Finding the Fourth Proportional to 9,229.72, 13,846.78 and 2,989.74

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Solution

The fourth proportional to 9,229.72, 13,846.78 and 2,989.74 is: 4,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.72 : 13,846.78 = 2,989.74 : x
  2. Step 2: Convert to fraction form
    9,229.72/13,846.78 = 2,989.74/x
  3. Step 3: Cross multiply
    9,229.72x = 13,846.78 × 2,989.74
  4. Step 4: Simplify right side
    9,229.72x = 41,398,272.04
  5. Step 5: Solve for x
    x = 41,398,272.04/9,229.72
  6. Step 6: Final answer
    x = 4,485.32

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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.