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Finding the Fourth Proportional to 6,392.94, 9,586.67 and 2,231.70

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Solution

The fourth proportional to 6,392.94, 9,586.67 and 2,231.70 is: 3,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.94 : 9,586.67 = 2,231.70 : x
  2. Step 2: Convert to fraction form
    6,392.94/9,586.67 = 2,231.70/x
  3. Step 3: Cross multiply
    6,392.94x = 9,586.67 × 2,231.70
  4. Step 4: Simplify right side
    6,392.94x = 21,394,560.28
  5. Step 5: Solve for x
    x = 21,394,560.28/6,392.94
  6. Step 6: Final answer
    x = 3,346.59

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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.