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Finding the Fourth Proportional to 6,414.52, 9,623.13 and 3,642.48

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Solution

The fourth proportional to 6,414.52, 9,623.13 and 3,642.48 is: 5,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.52 : 9,623.13 = 3,642.48 : x
  2. Step 2: Convert to fraction form
    6,414.52/9,623.13 = 3,642.48/x
  3. Step 3: Cross multiply
    6,414.52x = 9,623.13 × 3,642.48
  4. Step 4: Simplify right side
    6,414.52x = 35,052,058.56
  5. Step 5: Solve for x
    x = 35,052,058.56/6,414.52
  6. Step 6: Final answer
    x = 5,464.49

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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.