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Finding the Fourth Proportional to 6,268.16, 9,403.68 and 3,189.44

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Solution

The fourth proportional to 6,268.16, 9,403.68 and 3,189.44 is: 4,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.16 : 9,403.68 = 3,189.44 : x
  2. Step 2: Convert to fraction form
    6,268.16/9,403.68 = 3,189.44/x
  3. Step 3: Cross multiply
    6,268.16x = 9,403.68 × 3,189.44
  4. Step 4: Simplify right side
    6,268.16x = 29,992,473.14
  5. Step 5: Solve for x
    x = 29,992,473.14/6,268.16
  6. Step 6: Final answer
    x = 4,784.89

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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.