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Finding the Fourth Proportional to 9,970.78, 13,757.81 and 5,991.96

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Solution

The fourth proportional to 9,970.78, 13,757.81 and 5,991.96 is: 8,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.78 : 13,757.81 = 5,991.96 : x
  2. Step 2: Convert to fraction form
    9,970.78/13,757.81 = 5,991.96/x
  3. Step 3: Cross multiply
    9,970.78x = 13,757.81 × 5,991.96
  4. Step 4: Simplify right side
    9,970.78x = 82,436,247.21
  5. Step 5: Solve for x
    x = 82,436,247.21/9,970.78
  6. Step 6: Final answer
    x = 8,267.78

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