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Finding the Fourth Proportional to 6,077.70, 9,120.72 and 3,998.70

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Solution

The fourth proportional to 6,077.70, 9,120.72 and 3,998.70 is: 6,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.70 : 9,120.72 = 3,998.70 : x
  2. Step 2: Convert to fraction form
    6,077.70/9,120.72 = 3,998.70/x
  3. Step 3: Cross multiply
    6,077.70x = 9,120.72 × 3,998.70
  4. Step 4: Simplify right side
    6,077.70x = 36,471,023.06
  5. Step 5: Solve for x
    x = 36,471,023.06/6,077.70
  6. Step 6: Final answer
    x = 6,000.79

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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.