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Finding the Fourth Proportional to 6,450.12, 9,662.22 and 3,851.64

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Solution

The fourth proportional to 6,450.12, 9,662.22 and 3,851.64 is: 5,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.12 : 9,662.22 = 3,851.64 : x
  2. Step 2: Convert to fraction form
    6,450.12/9,662.22 = 3,851.64/x
  3. Step 3: Cross multiply
    6,450.12x = 9,662.22 × 3,851.64
  4. Step 4: Simplify right side
    6,450.12x = 37,215,393.04
  5. Step 5: Solve for x
    x = 37,215,393.04/6,450.12
  6. Step 6: Final answer
    x = 5,769.72

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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.