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Finding the Fourth Proportional to 9,600.85, 13,249.19 and 5,351.82

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Solution

The fourth proportional to 9,600.85, 13,249.19 and 5,351.82 is: 7,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.85 : 13,249.19 = 5,351.82 : x
  2. Step 2: Convert to fraction form
    9,600.85/13,249.19 = 5,351.82/x
  3. Step 3: Cross multiply
    9,600.85x = 13,249.19 × 5,351.82
  4. Step 4: Simplify right side
    9,600.85x = 70,907,280.03
  5. Step 5: Solve for x
    x = 70,907,280.03/9,600.85
  6. Step 6: Final answer
    x = 7,385.52

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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.