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Finding the Fourth Proportional to 12,170.22, 16,794.84 and 6,864.99

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Solution

The fourth proportional to 12,170.22, 16,794.84 and 6,864.99 is: 9,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.22 : 16,794.84 = 6,864.99 : x
  2. Step 2: Convert to fraction form
    12,170.22/16,794.84 = 6,864.99/x
  3. Step 3: Cross multiply
    12,170.22x = 16,794.84 × 6,864.99
  4. Step 4: Simplify right side
    12,170.22x = 115,296,408.65
  5. Step 5: Solve for x
    x = 115,296,408.65/12,170.22
  6. Step 6: Final answer
    x = 9,473.65

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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.