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Finding the Fourth Proportional to 6,431.90, 8,862.09 and 5,168.30

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Solution

The fourth proportional to 6,431.90, 8,862.09 and 5,168.30 is: 7,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.90 : 8,862.09 = 5,168.30 : x
  2. Step 2: Convert to fraction form
    6,431.90/8,862.09 = 5,168.30/x
  3. Step 3: Cross multiply
    6,431.90x = 8,862.09 × 5,168.30
  4. Step 4: Simplify right side
    6,431.90x = 45,801,939.75
  5. Step 5: Solve for x
    x = 45,801,939.75/6,431.90
  6. Step 6: Final answer
    x = 7,121.06

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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.