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Finding the Fourth Proportional to 6,494.12, 8,963.44 and 3,978.34

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Solution

The fourth proportional to 6,494.12, 8,963.44 and 3,978.34 is: 5,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.12 : 8,963.44 = 3,978.34 : x
  2. Step 2: Convert to fraction form
    6,494.12/8,963.44 = 3,978.34/x
  3. Step 3: Cross multiply
    6,494.12x = 8,963.44 × 3,978.34
  4. Step 4: Simplify right side
    6,494.12x = 35,659,611.89
  5. Step 5: Solve for x
    x = 35,659,611.89/6,494.12
  6. Step 6: Final answer
    x = 5,491.06

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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.