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Finding the Fourth Proportional to 6,524.25, 9,003.47 and 3,729.81

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Solution

The fourth proportional to 6,524.25, 9,003.47 and 3,729.81 is: 5,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.25 : 9,003.47 = 3,729.81 : x
  2. Step 2: Convert to fraction form
    6,524.25/9,003.47 = 3,729.81/x
  3. Step 3: Cross multiply
    6,524.25x = 9,003.47 × 3,729.81
  4. Step 4: Simplify right side
    6,524.25x = 33,581,232.44
  5. Step 5: Solve for x
    x = 33,581,232.44/6,524.25
  6. Step 6: Final answer
    x = 5,147.14

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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.