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Finding the Fourth Proportional to 6,046.52, 9,069.77 and 2,150.96

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Solution

The fourth proportional to 6,046.52, 9,069.77 and 2,150.96 is: 3,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.52 : 9,069.77 = 2,150.96 : x
  2. Step 2: Convert to fraction form
    6,046.52/9,069.77 = 2,150.96/x
  3. Step 3: Cross multiply
    6,046.52x = 9,069.77 × 2,150.96
  4. Step 4: Simplify right side
    6,046.52x = 19,508,672.51
  5. Step 5: Solve for x
    x = 19,508,672.51/6,046.52
  6. Step 6: Final answer
    x = 3,226.43

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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.