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Finding the Fourth Proportional to 6,164.60, 9,245.14 and 2,268.12

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Solution

The fourth proportional to 6,164.60, 9,245.14 and 2,268.12 is: 3,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.60 : 9,245.14 = 2,268.12 : x
  2. Step 2: Convert to fraction form
    6,164.60/9,245.14 = 2,268.12/x
  3. Step 3: Cross multiply
    6,164.60x = 9,245.14 × 2,268.12
  4. Step 4: Simplify right side
    6,164.60x = 20,969,086.94
  5. Step 5: Solve for x
    x = 20,969,086.94/6,164.60
  6. Step 6: Final answer
    x = 3,401.53

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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.