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Finding the Fourth Proportional to 7,171.05, 9,895.98 and 4,027.23

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Solution

The fourth proportional to 7,171.05, 9,895.98 and 4,027.23 is: 5,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.05 : 9,895.98 = 4,027.23 : x
  2. Step 2: Convert to fraction form
    7,171.05/9,895.98 = 4,027.23/x
  3. Step 3: Cross multiply
    7,171.05x = 9,895.98 × 4,027.23
  4. Step 4: Simplify right side
    7,171.05x = 39,853,387.54
  5. Step 5: Solve for x
    x = 39,853,387.54/7,171.05
  6. Step 6: Final answer
    x = 5,557.54

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