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Finding the Fourth Proportional to 6,349.92, 9,525.09 and 2,189.88

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Solution

The fourth proportional to 6,349.92, 9,525.09 and 2,189.88 is: 3,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.92 : 9,525.09 = 2,189.88 : x
  2. Step 2: Convert to fraction form
    6,349.92/9,525.09 = 2,189.88/x
  3. Step 3: Cross multiply
    6,349.92x = 9,525.09 × 2,189.88
  4. Step 4: Simplify right side
    6,349.92x = 20,858,804.09
  5. Step 5: Solve for x
    x = 20,858,804.09/6,349.92
  6. Step 6: Final answer
    x = 3,284.89

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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.