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Finding the Fourth Proportional to 6,336.23, 8,745.87 and 4,098.20

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Solution

The fourth proportional to 6,336.23, 8,745.87 and 4,098.20 is: 5,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.23 : 8,745.87 = 4,098.20 : x
  2. Step 2: Convert to fraction form
    6,336.23/8,745.87 = 4,098.20/x
  3. Step 3: Cross multiply
    6,336.23x = 8,745.87 × 4,098.20
  4. Step 4: Simplify right side
    6,336.23x = 35,842,296.07
  5. Step 5: Solve for x
    x = 35,842,296.07/6,336.23
  6. Step 6: Final answer
    x = 5,656.73

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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.