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Finding the Fourth Proportional to 6,272.69, 9,414.68 and 3,353.49

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Solution

The fourth proportional to 6,272.69, 9,414.68 and 3,353.49 is: 5,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.69 : 9,414.68 = 3,353.49 : x
  2. Step 2: Convert to fraction form
    6,272.69/9,414.68 = 3,353.49/x
  3. Step 3: Cross multiply
    6,272.69x = 9,414.68 × 3,353.49
  4. Step 4: Simplify right side
    6,272.69x = 31,572,018.47
  5. Step 5: Solve for x
    x = 31,572,018.47/6,272.69
  6. Step 6: Final answer
    x = 5,033.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.