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Finding the Fourth Proportional to 6,293.23, 9,439.23 and 3,171.99

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Solution

The fourth proportional to 6,293.23, 9,439.23 and 3,171.99 is: 4,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.23 : 9,439.23 = 3,171.99 : x
  2. Step 2: Convert to fraction form
    6,293.23/9,439.23 = 3,171.99/x
  3. Step 3: Cross multiply
    6,293.23x = 9,439.23 × 3,171.99
  4. Step 4: Simplify right side
    6,293.23x = 29,941,143.17
  5. Step 5: Solve for x
    x = 29,941,143.17/6,293.23
  6. Step 6: Final answer
    x = 4,757.68

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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.