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Finding the Fourth Proportional to 6,296.46, 9,446.04 and 1,914.27

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Solution

The fourth proportional to 6,296.46, 9,446.04 and 1,914.27 is: 2,871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.46 : 9,446.04 = 1,914.27 : x
  2. Step 2: Convert to fraction form
    6,296.46/9,446.04 = 1,914.27/x
  3. Step 3: Cross multiply
    6,296.46x = 9,446.04 × 1,914.27
  4. Step 4: Simplify right side
    6,296.46x = 18,082,270.99
  5. Step 5: Solve for x
    x = 18,082,270.99/6,296.46
  6. Step 6: Final answer
    x = 2,871.82

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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.