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Finding the Fourth Proportional to 6,167.48, 9,251.82 and 2,271.38

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Solution

The fourth proportional to 6,167.48, 9,251.82 and 2,271.38 is: 3,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.48 : 9,251.82 = 2,271.38 : x
  2. Step 2: Convert to fraction form
    6,167.48/9,251.82 = 2,271.38/x
  3. Step 3: Cross multiply
    6,167.48x = 9,251.82 × 2,271.38
  4. Step 4: Simplify right side
    6,167.48x = 21,014,352.65
  5. Step 5: Solve for x
    x = 21,014,352.65/6,167.48
  6. Step 6: Final answer
    x = 3,407.29

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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.