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Finding the Fourth Proportional to 6,445.97, 9,668.97 and 2,286.02

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Solution

The fourth proportional to 6,445.97, 9,668.97 and 2,286.02 is: 3,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.97 : 9,668.97 = 2,286.02 : x
  2. Step 2: Convert to fraction form
    6,445.97/9,668.97 = 2,286.02/x
  3. Step 3: Cross multiply
    6,445.97x = 9,668.97 × 2,286.02
  4. Step 4: Simplify right side
    6,445.97x = 22,103,410.45
  5. Step 5: Solve for x
    x = 22,103,410.45/6,445.97
  6. Step 6: Final answer
    x = 3,429.03

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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.