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Finding the Fourth Proportional to 6,563.25, 9,057.65 and 3,768.93

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Solution

The fourth proportional to 6,563.25, 9,057.65 and 3,768.93 is: 5,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.25 : 9,057.65 = 3,768.93 : x
  2. Step 2: Convert to fraction form
    6,563.25/9,057.65 = 3,768.93/x
  3. Step 3: Cross multiply
    6,563.25x = 9,057.65 × 3,768.93
  4. Step 4: Simplify right side
    6,563.25x = 34,137,629.97
  5. Step 5: Solve for x
    x = 34,137,629.97/6,563.25
  6. Step 6: Final answer
    x = 5,201.33

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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.