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Finding the Fourth Proportional to 6,268.42, 9,403.17 and 6,183.10

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Solution

The fourth proportional to 6,268.42, 9,403.17 and 6,183.10 is: 9,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.42 : 9,403.17 = 6,183.10 : x
  2. Step 2: Convert to fraction form
    6,268.42/9,403.17 = 6,183.10/x
  3. Step 3: Cross multiply
    6,268.42x = 9,403.17 × 6,183.10
  4. Step 4: Simplify right side
    6,268.42x = 58,140,740.43
  5. Step 5: Solve for x
    x = 58,140,740.43/6,268.42
  6. Step 6: Final answer
    x = 9,275.18

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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.