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Finding the Fourth Proportional to 6,614.38, 9,128.09 and 3,630.31

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Solution

The fourth proportional to 6,614.38, 9,128.09 and 3,630.31 is: 5,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.38 : 9,128.09 = 3,630.31 : x
  2. Step 2: Convert to fraction form
    6,614.38/9,128.09 = 3,630.31/x
  3. Step 3: Cross multiply
    6,614.38x = 9,128.09 × 3,630.31
  4. Step 4: Simplify right side
    6,614.38x = 33,137,796.41
  5. Step 5: Solve for x
    x = 33,137,796.41/6,614.38
  6. Step 6: Final answer
    x = 5,009.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.