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Finding the Fourth Proportional to 6,512.36, 9,773.40 and 5,229.32

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Solution

The fourth proportional to 6,512.36, 9,773.40 and 5,229.32 is: 7,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.36 : 9,773.40 = 5,229.32 : x
  2. Step 2: Convert to fraction form
    6,512.36/9,773.40 = 5,229.32/x
  3. Step 3: Cross multiply
    6,512.36x = 9,773.40 × 5,229.32
  4. Step 4: Simplify right side
    6,512.36x = 51,108,236.09
  5. Step 5: Solve for x
    x = 51,108,236.09/6,512.36
  6. Step 6: Final answer
    x = 7,847.88

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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.