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Finding the Fourth Proportional to 9,229.48, 13,828.29 and 5,072.43

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Solution

The fourth proportional to 9,229.48, 13,828.29 and 5,072.43 is: 7,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.48 : 13,828.29 = 5,072.43 : x
  2. Step 2: Convert to fraction form
    9,229.48/13,828.29 = 5,072.43/x
  3. Step 3: Cross multiply
    9,229.48x = 13,828.29 × 5,072.43
  4. Step 4: Simplify right side
    9,229.48x = 70,143,033.04
  5. Step 5: Solve for x
    x = 70,143,033.04/9,229.48
  6. Step 6: Final answer
    x = 7,599.89

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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.