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Finding the Fourth Proportional to 6,336.30, 8,735.94 and 4,094.22

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Solution

The fourth proportional to 6,336.30, 8,735.94 and 4,094.22 is: 5,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.30 : 8,735.94 = 4,094.22 : x
  2. Step 2: Convert to fraction form
    6,336.30/8,735.94 = 4,094.22/x
  3. Step 3: Cross multiply
    6,336.30x = 8,735.94 × 4,094.22
  4. Step 4: Simplify right side
    6,336.30x = 35,766,860.27
  5. Step 5: Solve for x
    x = 35,766,860.27/6,336.30
  6. Step 6: Final answer
    x = 5,644.75

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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.