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Finding the Fourth Proportional to 8,936.90, 12,327.32 and 5,754.34

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Solution

The fourth proportional to 8,936.90, 12,327.32 and 5,754.34 is: 7,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,936.90 : 12,327.32 = 5,754.34 : x
  2. Step 2: Convert to fraction form
    8,936.90/12,327.32 = 5,754.34/x
  3. Step 3: Cross multiply
    8,936.90x = 12,327.32 × 5,754.34
  4. Step 4: Simplify right side
    8,936.90x = 70,935,620.36
  5. Step 5: Solve for x
    x = 70,935,620.36/8,936.90
  6. Step 6: Final answer
    x = 7,937.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.