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Finding the Fourth Proportional to 6,504.39, 9,757.94 and 2,806.83

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Solution

The fourth proportional to 6,504.39, 9,757.94 and 2,806.83 is: 4,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.39 : 9,757.94 = 2,806.83 : x
  2. Step 2: Convert to fraction form
    6,504.39/9,757.94 = 2,806.83/x
  3. Step 3: Cross multiply
    6,504.39x = 9,757.94 × 2,806.83
  4. Step 4: Simplify right side
    6,504.39x = 27,388,864.70
  5. Step 5: Solve for x
    x = 27,388,864.70/6,504.39
  6. Step 6: Final answer
    x = 4,210.83

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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.