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Finding the Fourth Proportional to 12,942.72, 19,384 and 6,348.48

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Solution

The fourth proportional to 12,942.72, 19,384 and 6,348.48 is: 9,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.72 : 19,384 = 6,348.48 : x
  2. Step 2: Convert to fraction form
    12,942.72/19,384 = 6,348.48/x
  3. Step 3: Cross multiply
    12,942.72x = 19,384 × 6,348.48
  4. Step 4: Simplify right side
    12,942.72x = 123,058,936.32
  5. Step 5: Solve for x
    x = 123,058,936.32/12,942.72
  6. Step 6: Final answer
    x = 9,507.97

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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.