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Finding the Fourth Proportional to 9,408.15, 12,982.73 and 5,216.67

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Solution

The fourth proportional to 9,408.15, 12,982.73 and 5,216.67 is: 7,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.15 : 12,982.73 = 5,216.67 : x
  2. Step 2: Convert to fraction form
    9,408.15/12,982.73 = 5,216.67/x
  3. Step 3: Cross multiply
    9,408.15x = 12,982.73 × 5,216.67
  4. Step 4: Simplify right side
    9,408.15x = 67,726,592.03
  5. Step 5: Solve for x
    x = 67,726,592.03/9,408.15
  6. Step 6: Final answer
    x = 7,198.72

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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.