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Finding the Fourth Proportional to 6,285.69, 9,433.09 and 5,067.80

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Solution

The fourth proportional to 6,285.69, 9,433.09 and 5,067.80 is: 7,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.69 : 9,433.09 = 5,067.80 : x
  2. Step 2: Convert to fraction form
    6,285.69/9,433.09 = 5,067.80/x
  3. Step 3: Cross multiply
    6,285.69x = 9,433.09 × 5,067.80
  4. Step 4: Simplify right side
    6,285.69x = 47,805,013.50
  5. Step 5: Solve for x
    x = 47,805,013.50/6,285.69
  6. Step 6: Final answer
    x = 7,605.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.