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Finding the Fourth Proportional to 6,330.88, 9,489.83 and 3,205.09

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Solution

The fourth proportional to 6,330.88, 9,489.83 and 3,205.09 is: 4,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.88 : 9,489.83 = 3,205.09 : x
  2. Step 2: Convert to fraction form
    6,330.88/9,489.83 = 3,205.09/x
  3. Step 3: Cross multiply
    6,330.88x = 9,489.83 × 3,205.09
  4. Step 4: Simplify right side
    6,330.88x = 30,415,743.52
  5. Step 5: Solve for x
    x = 30,415,743.52/6,330.88
  6. Step 6: Final answer
    x = 4,804.35

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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.