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Finding the Fourth Proportional to 6,489.36, 9,733.50 and 3,201.12

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Solution

The fourth proportional to 6,489.36, 9,733.50 and 3,201.12 is: 4,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.36 : 9,733.50 = 3,201.12 : x
  2. Step 2: Convert to fraction form
    6,489.36/9,733.50 = 3,201.12/x
  3. Step 3: Cross multiply
    6,489.36x = 9,733.50 × 3,201.12
  4. Step 4: Simplify right side
    6,489.36x = 31,158,101.52
  5. Step 5: Solve for x
    x = 31,158,101.52/6,489.36
  6. Step 6: Final answer
    x = 4,801.41

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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.