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Finding the Fourth Proportional to 6,193.12, 9,284.82 and 3,230.24

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Solution

The fourth proportional to 6,193.12, 9,284.82 and 3,230.24 is: 4,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.12 : 9,284.82 = 3,230.24 : x
  2. Step 2: Convert to fraction form
    6,193.12/9,284.82 = 3,230.24/x
  3. Step 3: Cross multiply
    6,193.12x = 9,284.82 × 3,230.24
  4. Step 4: Simplify right side
    6,193.12x = 29,992,196.96
  5. Step 5: Solve for x
    x = 29,992,196.96/6,193.12
  6. Step 6: Final answer
    x = 4,842.83

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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.