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Finding the Fourth Proportional to 6,512.00, 9,770.83 and 2,564.46

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Solution

The fourth proportional to 6,512.00, 9,770.83 and 2,564.46 is: 3,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.00 : 9,770.83 = 2,564.46 : x
  2. Step 2: Convert to fraction form
    6,512.00/9,770.83 = 2,564.46/x
  3. Step 3: Cross multiply
    6,512.00x = 9,770.83 × 2,564.46
  4. Step 4: Simplify right side
    6,512.00x = 25,056,896.29
  5. Step 5: Solve for x
    x = 25,056,896.29/6,512.00
  6. Step 6: Final answer
    x = 3,847.81

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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.