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Finding the Fourth Proportional to 6,493.85, 8,961.97 and 3,661.48

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Solution

The fourth proportional to 6,493.85, 8,961.97 and 3,661.48 is: 5,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.85 : 8,961.97 = 3,661.48 : x
  2. Step 2: Convert to fraction form
    6,493.85/8,961.97 = 3,661.48/x
  3. Step 3: Cross multiply
    6,493.85x = 8,961.97 × 3,661.48
  4. Step 4: Simplify right side
    6,493.85x = 32,814,072.53
  5. Step 5: Solve for x
    x = 32,814,072.53/6,493.85
  6. Step 6: Final answer
    x = 5,053.10

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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.