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Finding the Fourth Proportional to 7,171.62, 9,898.30 and 4,028.82

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Solution

The fourth proportional to 7,171.62, 9,898.30 and 4,028.82 is: 5,560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.62 : 9,898.30 = 4,028.82 : x
  2. Step 2: Convert to fraction form
    7,171.62/9,898.30 = 4,028.82/x
  3. Step 3: Cross multiply
    7,171.62x = 9,898.30 × 4,028.82
  4. Step 4: Simplify right side
    7,171.62x = 39,878,469.01
  5. Step 5: Solve for x
    x = 39,878,469.01/7,171.62
  6. Step 6: Final answer
    x = 5,560.59

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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.