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Finding the Fourth Proportional to 9,548.62, 13,183.52 and 7,306.49

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Solution

The fourth proportional to 9,548.62, 13,183.52 and 7,306.49 is: 10,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.62 : 13,183.52 = 7,306.49 : x
  2. Step 2: Convert to fraction form
    9,548.62/13,183.52 = 7,306.49/x
  3. Step 3: Cross multiply
    9,548.62x = 13,183.52 × 7,306.49
  4. Step 4: Simplify right side
    9,548.62x = 96,325,257.04
  5. Step 5: Solve for x
    x = 96,325,257.04/9,548.62
  6. Step 6: Final answer
    x = 10,087.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.