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Finding the Fourth Proportional to 9,839.28, 13,578.12 and 5,647.56

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Solution

The fourth proportional to 9,839.28, 13,578.12 and 5,647.56 is: 7,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.28 : 13,578.12 = 5,647.56 : x
  2. Step 2: Convert to fraction form
    9,839.28/13,578.12 = 5,647.56/x
  3. Step 3: Cross multiply
    9,839.28x = 13,578.12 × 5,647.56
  4. Step 4: Simplify right side
    9,839.28x = 76,683,247.39
  5. Step 5: Solve for x
    x = 76,683,247.39/9,839.28
  6. Step 6: Final answer
    x = 7,793.58

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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.