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Finding the Fourth Proportional to 6,273.92, 9,404.76 and 2,986.14

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Solution

The fourth proportional to 6,273.92, 9,404.76 and 2,986.14 is: 4,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.92 : 9,404.76 = 2,986.14 : x
  2. Step 2: Convert to fraction form
    6,273.92/9,404.76 = 2,986.14/x
  3. Step 3: Cross multiply
    6,273.92x = 9,404.76 × 2,986.14
  4. Step 4: Simplify right side
    6,273.92x = 28,083,930.03
  5. Step 5: Solve for x
    x = 28,083,930.03/6,273.92
  6. Step 6: Final answer
    x = 4,476.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.