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Finding the Fourth Proportional to 6,431.70, 8,874.71 and 3,912.47

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Solution

The fourth proportional to 6,431.70, 8,874.71 and 3,912.47 is: 5,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.70 : 8,874.71 = 3,912.47 : x
  2. Step 2: Convert to fraction form
    6,431.70/8,874.71 = 3,912.47/x
  3. Step 3: Cross multiply
    6,431.70x = 8,874.71 × 3,912.47
  4. Step 4: Simplify right side
    6,431.70x = 34,721,992.26
  5. Step 5: Solve for x
    x = 34,721,992.26/6,431.70
  6. Step 6: Final answer
    x = 5,398.57

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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.