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Finding the Fourth Proportional to 8,936.72, 13,402.92 and 5,764.49

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Solution

The fourth proportional to 8,936.72, 13,402.92 and 5,764.49 is: 8,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,936.72 : 13,402.92 = 5,764.49 : x
  2. Step 2: Convert to fraction form
    8,936.72/13,402.92 = 5,764.49/x
  3. Step 3: Cross multiply
    8,936.72x = 13,402.92 × 5,764.49
  4. Step 4: Simplify right side
    8,936.72x = 77,260,998.31
  5. Step 5: Solve for x
    x = 77,260,998.31/8,936.72
  6. Step 6: Final answer
    x = 8,645.34

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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.