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Finding the Fourth Proportional to 6,555.69, 9,834.75 and 2,857.23

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Solution

The fourth proportional to 6,555.69, 9,834.75 and 2,857.23 is: 4,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.69 : 9,834.75 = 2,857.23 : x
  2. Step 2: Convert to fraction form
    6,555.69/9,834.75 = 2,857.23/x
  3. Step 3: Cross multiply
    6,555.69x = 9,834.75 × 2,857.23
  4. Step 4: Simplify right side
    6,555.69x = 28,100,142.74
  5. Step 5: Solve for x
    x = 28,100,142.74/6,555.69
  6. Step 6: Final answer
    x = 4,286.37

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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.