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Finding the Fourth Proportional to 6,349.94, 9,524.96 and 1,967.37

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Solution

The fourth proportional to 6,349.94, 9,524.96 and 1,967.37 is: 2,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.94 : 9,524.96 = 1,967.37 : x
  2. Step 2: Convert to fraction form
    6,349.94/9,524.96 = 1,967.37/x
  3. Step 3: Cross multiply
    6,349.94x = 9,524.96 × 1,967.37
  4. Step 4: Simplify right side
    6,349.94x = 18,739,120.56
  5. Step 5: Solve for x
    x = 18,739,120.56/6,349.94
  6. Step 6: Final answer
    x = 2,951.07

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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.