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Finding the Fourth Proportional to 12,960.38, 19,445.16 and 6,391.22

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Solution

The fourth proportional to 12,960.38, 19,445.16 and 6,391.22 is: 9,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.38 : 19,445.16 = 6,391.22 : x
  2. Step 2: Convert to fraction form
    12,960.38/19,445.16 = 6,391.22/x
  3. Step 3: Cross multiply
    12,960.38x = 19,445.16 × 6,391.22
  4. Step 4: Simplify right side
    12,960.38x = 124,278,198.27
  5. Step 5: Solve for x
    x = 124,278,198.27/12,960.38
  6. Step 6: Final answer
    x = 9,589.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.