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Finding the Fourth Proportional to 6,567.87, 9,067.01 and 5,072.43

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Solution

The fourth proportional to 6,567.87, 9,067.01 and 5,072.43 is: 7,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.87 : 9,067.01 = 5,072.43 : x
  2. Step 2: Convert to fraction form
    6,567.87/9,067.01 = 5,072.43/x
  3. Step 3: Cross multiply
    6,567.87x = 9,067.01 × 5,072.43
  4. Step 4: Simplify right side
    6,567.87x = 45,991,748.17
  5. Step 5: Solve for x
    x = 45,991,748.17/6,567.87
  6. Step 6: Final answer
    x = 7,002.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.