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Finding the Fourth Proportional to 6,420.97, 8,861.77 and 3,768.63

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Solution

The fourth proportional to 6,420.97, 8,861.77 and 3,768.63 is: 5,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.97 : 8,861.77 = 3,768.63 : x
  2. Step 2: Convert to fraction form
    6,420.97/8,861.77 = 3,768.63/x
  3. Step 3: Cross multiply
    6,420.97x = 8,861.77 × 3,768.63
  4. Step 4: Simplify right side
    6,420.97x = 33,396,703.75
  5. Step 5: Solve for x
    x = 33,396,703.75/6,420.97
  6. Step 6: Final answer
    x = 5,201.19

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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.