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Finding the Fourth Proportional to 6,306.74, 9,460.01 and 2,149.64

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Solution

The fourth proportional to 6,306.74, 9,460.01 and 2,149.64 is: 3,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.74 : 9,460.01 = 2,149.64 : x
  2. Step 2: Convert to fraction form
    6,306.74/9,460.01 = 2,149.64/x
  3. Step 3: Cross multiply
    6,306.74x = 9,460.01 × 2,149.64
  4. Step 4: Simplify right side
    6,306.74x = 20,335,651.37
  5. Step 5: Solve for x
    x = 20,335,651.37/6,306.74
  6. Step 6: Final answer
    x = 3,224.43

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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.