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Finding the Fourth Proportional to 6,122.64, 9,185.64 and 3,202.80

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Solution

The fourth proportional to 6,122.64, 9,185.64 and 3,202.80 is: 4,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.64 : 9,185.64 = 3,202.80 : x
  2. Step 2: Convert to fraction form
    6,122.64/9,185.64 = 3,202.80/x
  3. Step 3: Cross multiply
    6,122.64x = 9,185.64 × 3,202.80
  4. Step 4: Simplify right side
    6,122.64x = 29,419,767.79
  5. Step 5: Solve for x
    x = 29,419,767.79/6,122.64
  6. Step 6: Final answer
    x = 4,805.08

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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.