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Finding the Fourth Proportional to 6,268.24, 9,396.08 and 3,496.16

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Solution

The fourth proportional to 6,268.24, 9,396.08 and 3,496.16 is: 5,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.24 : 9,396.08 = 3,496.16 : x
  2. Step 2: Convert to fraction form
    6,268.24/9,396.08 = 3,496.16/x
  3. Step 3: Cross multiply
    6,268.24x = 9,396.08 × 3,496.16
  4. Step 4: Simplify right side
    6,268.24x = 32,850,199.05
  5. Step 5: Solve for x
    x = 32,850,199.05/6,268.24
  6. Step 6: Final answer
    x = 5,240.74

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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.