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Finding the Fourth Proportional to 6,203.76, 9,305.62 and 2,693.31

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Solution

The fourth proportional to 6,203.76, 9,305.62 and 2,693.31 is: 4,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.76 : 9,305.62 = 2,693.31 : x
  2. Step 2: Convert to fraction form
    6,203.76/9,305.62 = 2,693.31/x
  3. Step 3: Cross multiply
    6,203.76x = 9,305.62 × 2,693.31
  4. Step 4: Simplify right side
    6,203.76x = 25,062,912.67
  5. Step 5: Solve for x
    x = 25,062,912.67/6,203.76
  6. Step 6: Final answer
    x = 4,039.96

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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.