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Finding the Fourth Proportional to 6,132.96, 9,198.80 and 2,236.32

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Solution

The fourth proportional to 6,132.96, 9,198.80 and 2,236.32 is: 3,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.96 : 9,198.80 = 2,236.32 : x
  2. Step 2: Convert to fraction form
    6,132.96/9,198.80 = 2,236.32/x
  3. Step 3: Cross multiply
    6,132.96x = 9,198.80 × 2,236.32
  4. Step 4: Simplify right side
    6,132.96x = 20,571,460.42
  5. Step 5: Solve for x
    x = 20,571,460.42/6,132.96
  6. Step 6: Final answer
    x = 3,354.25

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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.