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Finding the Fourth Proportional to 9,839.33, 13,578.34 and 5,363.06

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Solution

The fourth proportional to 9,839.33, 13,578.34 and 5,363.06 is: 7,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.33 : 13,578.34 = 5,363.06 : x
  2. Step 2: Convert to fraction form
    9,839.33/13,578.34 = 5,363.06/x
  3. Step 3: Cross multiply
    9,839.33x = 13,578.34 × 5,363.06
  4. Step 4: Simplify right side
    9,839.33x = 72,821,452.12
  5. Step 5: Solve for x
    x = 72,821,452.12/9,839.33
  6. Step 6: Final answer
    x = 7,401.06

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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.