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Finding the Fourth Proportional to 8,273.63, 12,393.77 and 3,825.02

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Solution

The fourth proportional to 8,273.63, 12,393.77 and 3,825.02 is: 5,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.63 : 12,393.77 = 3,825.02 : x
  2. Step 2: Convert to fraction form
    8,273.63/12,393.77 = 3,825.02/x
  3. Step 3: Cross multiply
    8,273.63x = 12,393.77 × 3,825.02
  4. Step 4: Simplify right side
    8,273.63x = 47,406,337.03
  5. Step 5: Solve for x
    x = 47,406,337.03/8,273.63
  6. Step 6: Final answer
    x = 5,729.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.