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Finding the Fourth Proportional to 6,331.77, 8,738.31 and 3,643.80

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Solution

The fourth proportional to 6,331.77, 8,738.31 and 3,643.80 is: 5,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.77 : 8,738.31 = 3,643.80 : x
  2. Step 2: Convert to fraction form
    6,331.77/8,738.31 = 3,643.80/x
  3. Step 3: Cross multiply
    6,331.77x = 8,738.31 × 3,643.80
  4. Step 4: Simplify right side
    6,331.77x = 31,840,653.98
  5. Step 5: Solve for x
    x = 31,840,653.98/6,331.77
  6. Step 6: Final answer
    x = 5,028.71

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