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Finding the Fourth Proportional to 6,291.29, 9,444.24 and 3,375.29

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Solution

The fourth proportional to 6,291.29, 9,444.24 and 3,375.29 is: 5,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.29 : 9,444.24 = 3,375.29 : x
  2. Step 2: Convert to fraction form
    6,291.29/9,444.24 = 3,375.29/x
  3. Step 3: Cross multiply
    6,291.29x = 9,444.24 × 3,375.29
  4. Step 4: Simplify right side
    6,291.29x = 31,877,072.44
  5. Step 5: Solve for x
    x = 31,877,072.44/6,291.29
  6. Step 6: Final answer
    x = 5,066.86

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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.