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Finding the Fourth Proportional to 9,396.86, 12,967.68 and 5,205.14

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Solution

The fourth proportional to 9,396.86, 12,967.68 and 5,205.14 is: 7,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.86 : 12,967.68 = 5,205.14 : x
  2. Step 2: Convert to fraction form
    9,396.86/12,967.68 = 5,205.14/x
  3. Step 3: Cross multiply
    9,396.86x = 12,967.68 × 5,205.14
  4. Step 4: Simplify right side
    9,396.86x = 67,498,589.88
  5. Step 5: Solve for x
    x = 67,498,589.88/9,396.86
  6. Step 6: Final answer
    x = 7,183.10

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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.