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Finding the Fourth Proportional to 6,296.15, 9,446.27 and 2,138.81

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Solution

The fourth proportional to 6,296.15, 9,446.27 and 2,138.81 is: 3,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.15 : 9,446.27 = 2,138.81 : x
  2. Step 2: Convert to fraction form
    6,296.15/9,446.27 = 2,138.81/x
  3. Step 3: Cross multiply
    6,296.15x = 9,446.27 × 2,138.81
  4. Step 4: Simplify right side
    6,296.15x = 20,203,730.84
  5. Step 5: Solve for x
    x = 20,203,730.84/6,296.15
  6. Step 6: Final answer
    x = 3,208.90

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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.