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Finding the Fourth Proportional to 9,578.97, 14,363.82 and 3,338.83

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Solution

The fourth proportional to 9,578.97, 14,363.82 and 3,338.83 is: 5,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.97 : 14,363.82 = 3,338.83 : x
  2. Step 2: Convert to fraction form
    9,578.97/14,363.82 = 3,338.83/x
  3. Step 3: Cross multiply
    9,578.97x = 14,363.82 × 3,338.83
  4. Step 4: Simplify right side
    9,578.97x = 47,958,353.13
  5. Step 5: Solve for x
    x = 47,958,353.13/9,578.97
  6. Step 6: Final answer
    x = 5,006.63

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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.