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Finding the Fourth Proportional to 9,468.42, 14,202.62 and 5,998.38

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Solution

The fourth proportional to 9,468.42, 14,202.62 and 5,998.38 is: 8,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.42 : 14,202.62 = 5,998.38 : x
  2. Step 2: Convert to fraction form
    9,468.42/14,202.62 = 5,998.38/x
  3. Step 3: Cross multiply
    9,468.42x = 14,202.62 × 5,998.38
  4. Step 4: Simplify right side
    9,468.42x = 85,192,711.76
  5. Step 5: Solve for x
    x = 85,192,711.76/9,468.42
  6. Step 6: Final answer
    x = 8,997.56

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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.