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Finding the Fourth Proportional to 6,512.82, 9,771.66 and 2,813.58

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Solution

The fourth proportional to 6,512.82, 9,771.66 and 2,813.58 is: 4,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.82 : 9,771.66 = 2,813.58 : x
  2. Step 2: Convert to fraction form
    6,512.82/9,771.66 = 2,813.58/x
  3. Step 3: Cross multiply
    6,512.82x = 9,771.66 × 2,813.58
  4. Step 4: Simplify right side
    6,512.82x = 27,493,347.14
  5. Step 5: Solve for x
    x = 27,493,347.14/6,512.82
  6. Step 6: Final answer
    x = 4,221.42

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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.