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Finding the Fourth Proportional to 9,650.80, 14,500.50 and 6,142.42

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Solution

The fourth proportional to 9,650.80, 14,500.50 and 6,142.42 is: 9,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.80 : 14,500.50 = 6,142.42 : x
  2. Step 2: Convert to fraction form
    9,650.80/14,500.50 = 6,142.42/x
  3. Step 3: Cross multiply
    9,650.80x = 14,500.50 × 6,142.42
  4. Step 4: Simplify right side
    9,650.80x = 89,068,161.21
  5. Step 5: Solve for x
    x = 89,068,161.21/9,650.80
  6. Step 6: Final answer
    x = 9,229.10

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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.