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Finding the Fourth Proportional to 6,528.95, 9,012.01 and 4,171.09

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Solution

The fourth proportional to 6,528.95, 9,012.01 and 4,171.09 is: 5,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.95 : 9,012.01 = 4,171.09 : x
  2. Step 2: Convert to fraction form
    6,528.95/9,012.01 = 4,171.09/x
  3. Step 3: Cross multiply
    6,528.95x = 9,012.01 × 4,171.09
  4. Step 4: Simplify right side
    6,528.95x = 37,589,883.94
  5. Step 5: Solve for x
    x = 37,589,883.94/6,528.95
  6. Step 6: Final answer
    x = 5,757.42

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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.