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Finding the Fourth Proportional to 9,229.34, 13,846.89 and 3,306.28

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Solution

The fourth proportional to 9,229.34, 13,846.89 and 3,306.28 is: 4,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.34 : 13,846.89 = 3,306.28 : x
  2. Step 2: Convert to fraction form
    9,229.34/13,846.89 = 3,306.28/x
  3. Step 3: Cross multiply
    9,229.34x = 13,846.89 × 3,306.28
  4. Step 4: Simplify right side
    9,229.34x = 45,781,717.02
  5. Step 5: Solve for x
    x = 45,781,717.02/9,229.34
  6. Step 6: Final answer
    x = 4,960.45

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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.