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Finding the Fourth Proportional to 6,998.41, 9,658.21 and 4,014.22

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Solution

The fourth proportional to 6,998.41, 9,658.21 and 4,014.22 is: 5,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.41 : 9,658.21 = 4,014.22 : x
  2. Step 2: Convert to fraction form
    6,998.41/9,658.21 = 4,014.22/x
  3. Step 3: Cross multiply
    6,998.41x = 9,658.21 × 4,014.22
  4. Step 4: Simplify right side
    6,998.41x = 38,770,179.75
  5. Step 5: Solve for x
    x = 38,770,179.75/6,998.41
  6. Step 6: Final answer
    x = 5,539.86

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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.