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Finding the Fourth Proportional to 6,431.25, 9,649.62 and 2,734.29

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Solution

The fourth proportional to 6,431.25, 9,649.62 and 2,734.29 is: 4,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.25 : 9,649.62 = 2,734.29 : x
  2. Step 2: Convert to fraction form
    6,431.25/9,649.62 = 2,734.29/x
  3. Step 3: Cross multiply
    6,431.25x = 9,649.62 × 2,734.29
  4. Step 4: Simplify right side
    6,431.25x = 26,384,859.47
  5. Step 5: Solve for x
    x = 26,384,859.47/6,431.25
  6. Step 6: Final answer
    x = 4,102.60

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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.