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Finding the Fourth Proportional to 9,512.69, 14,269.03 and 2,938.73

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Solution

The fourth proportional to 9,512.69, 14,269.03 and 2,938.73 is: 4,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.69 : 14,269.03 = 2,938.73 : x
  2. Step 2: Convert to fraction form
    9,512.69/14,269.03 = 2,938.73/x
  3. Step 3: Cross multiply
    9,512.69x = 14,269.03 × 2,938.73
  4. Step 4: Simplify right side
    9,512.69x = 41,932,747.84
  5. Step 5: Solve for x
    x = 41,932,747.84/9,512.69
  6. Step 6: Final answer
    x = 4,408.09

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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.