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Finding the Fourth Proportional to 6,164.64, 9,246.96 and 2,268.14

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Solution

The fourth proportional to 6,164.64, 9,246.96 and 2,268.14 is: 3,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.64 : 9,246.96 = 2,268.14 : x
  2. Step 2: Convert to fraction form
    6,164.64/9,246.96 = 2,268.14/x
  3. Step 3: Cross multiply
    6,164.64x = 9,246.96 × 2,268.14
  4. Step 4: Simplify right side
    6,164.64x = 20,973,353.62
  5. Step 5: Solve for x
    x = 20,973,353.62/6,164.64
  6. Step 6: Final answer
    x = 3,402.20

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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.