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Finding the Fourth Proportional to 9,198.70, 13,790.31 and 4,000.66

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Solution

The fourth proportional to 9,198.70, 13,790.31 and 4,000.66 is: 5,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.70 : 13,790.31 = 4,000.66 : x
  2. Step 2: Convert to fraction form
    9,198.70/13,790.31 = 4,000.66/x
  3. Step 3: Cross multiply
    9,198.70x = 13,790.31 × 4,000.66
  4. Step 4: Simplify right side
    9,198.70x = 55,170,341.60
  5. Step 5: Solve for x
    x = 55,170,341.60/9,198.70
  6. Step 6: Final answer
    x = 5,997.62

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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.