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Finding the Fourth Proportional to 6,181.96, 9,272.40 and 2,286.40

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Solution

The fourth proportional to 6,181.96, 9,272.40 and 2,286.40 is: 3,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.96 : 9,272.40 = 2,286.40 : x
  2. Step 2: Convert to fraction form
    6,181.96/9,272.40 = 2,286.40/x
  3. Step 3: Cross multiply
    6,181.96x = 9,272.40 × 2,286.40
  4. Step 4: Simplify right side
    6,181.96x = 21,200,415.36
  5. Step 5: Solve for x
    x = 21,200,415.36/6,181.96
  6. Step 6: Final answer
    x = 3,429.40

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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.