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Finding the Fourth Proportional to 6,141.44, 9,213.60 and 1,758.96

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Solution

The fourth proportional to 6,141.44, 9,213.60 and 1,758.96 is: 2,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.44 : 9,213.60 = 1,758.96 : x
  2. Step 2: Convert to fraction form
    6,141.44/9,213.60 = 1,758.96/x
  3. Step 3: Cross multiply
    6,141.44x = 9,213.60 × 1,758.96
  4. Step 4: Simplify right side
    6,141.44x = 16,206,353.86
  5. Step 5: Solve for x
    x = 16,206,353.86/6,141.44
  6. Step 6: Final answer
    x = 2,638.85

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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.