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Finding the Fourth Proportional to 6,327.68, 8,729.52 and 4,232.48

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Solution

The fourth proportional to 6,327.68, 8,729.52 and 4,232.48 is: 5,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.68 : 8,729.52 = 4,232.48 : x
  2. Step 2: Convert to fraction form
    6,327.68/8,729.52 = 4,232.48/x
  3. Step 3: Cross multiply
    6,327.68x = 8,729.52 × 4,232.48
  4. Step 4: Simplify right side
    6,327.68x = 36,947,518.81
  5. Step 5: Solve for x
    x = 36,947,518.81/6,327.68
  6. Step 6: Final answer
    x = 5,839.03

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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.