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Finding the Fourth Proportional to 9,839.52, 13,578.36 and 5,647.44

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Solution

The fourth proportional to 9,839.52, 13,578.36 and 5,647.44 is: 7,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.52 : 13,578.36 = 5,647.44 : x
  2. Step 2: Convert to fraction form
    9,839.52/13,578.36 = 5,647.44/x
  3. Step 3: Cross multiply
    9,839.52x = 13,578.36 × 5,647.44
  4. Step 4: Simplify right side
    9,839.52x = 76,682,973.40
  5. Step 5: Solve for x
    x = 76,682,973.40/9,839.52
  6. Step 6: Final answer
    x = 7,793.37

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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.