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Finding the Fourth Proportional to 6,203.44, 9,300.70 and 2,914.71

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Solution

The fourth proportional to 6,203.44, 9,300.70 and 2,914.71 is: 4,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.44 : 9,300.70 = 2,914.71 : x
  2. Step 2: Convert to fraction form
    6,203.44/9,300.70 = 2,914.71/x
  3. Step 3: Cross multiply
    6,203.44x = 9,300.70 × 2,914.71
  4. Step 4: Simplify right side
    6,203.44x = 27,108,843.30
  5. Step 5: Solve for x
    x = 27,108,843.30/6,203.44
  6. Step 6: Final answer
    x = 4,369.97

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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.