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Finding the Fourth Proportional to 6,325.82, 8,729.64 and 3,673.23

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Solution

The fourth proportional to 6,325.82, 8,729.64 and 3,673.23 is: 5,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.82 : 8,729.64 = 3,673.23 : x
  2. Step 2: Convert to fraction form
    6,325.82/8,729.64 = 3,673.23/x
  3. Step 3: Cross multiply
    6,325.82x = 8,729.64 × 3,673.23
  4. Step 4: Simplify right side
    6,325.82x = 32,065,975.54
  5. Step 5: Solve for x
    x = 32,065,975.54/6,325.82
  6. Step 6: Final answer
    x = 5,069.06

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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.