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Finding the Fourth Proportional to 6,512.94, 9,771.30 and 3,181.41

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Solution

The fourth proportional to 6,512.94, 9,771.30 and 3,181.41 is: 4,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.94 : 9,771.30 = 3,181.41 : x
  2. Step 2: Convert to fraction form
    6,512.94/9,771.30 = 3,181.41/x
  3. Step 3: Cross multiply
    6,512.94x = 9,771.30 × 3,181.41
  4. Step 4: Simplify right side
    6,512.94x = 31,086,511.53
  5. Step 5: Solve for x
    x = 31,086,511.53/6,512.94
  6. Step 6: Final answer
    x = 4,773.04

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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.