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Finding the Fourth Proportional to 12,912.78, 19,367.34 and 6,337.20

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Solution

The fourth proportional to 12,912.78, 19,367.34 and 6,337.20 is: 9,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.78 : 19,367.34 = 6,337.20 : x
  2. Step 2: Convert to fraction form
    12,912.78/19,367.34 = 6,337.20/x
  3. Step 3: Cross multiply
    12,912.78x = 19,367.34 × 6,337.20
  4. Step 4: Simplify right side
    12,912.78x = 122,734,707.05
  5. Step 5: Solve for x
    x = 122,734,707.05/12,912.78
  6. Step 6: Final answer
    x = 9,504.90

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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.