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Finding the Fourth Proportional to 6,523.50, 9,002.43 and 3,729.06

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Solution

The fourth proportional to 6,523.50, 9,002.43 and 3,729.06 is: 5,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.50 : 9,002.43 = 3,729.06 : x
  2. Step 2: Convert to fraction form
    6,523.50/9,002.43 = 3,729.06/x
  3. Step 3: Cross multiply
    6,523.50x = 9,002.43 × 3,729.06
  4. Step 4: Simplify right side
    6,523.50x = 33,570,601.62
  5. Step 5: Solve for x
    x = 33,570,601.62/6,523.50
  6. Step 6: Final answer
    x = 5,146.10

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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.