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Finding the Fourth Proportional to 7,109.88, 9,811.67 and 3,923.21

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Solution

The fourth proportional to 7,109.88, 9,811.67 and 3,923.21 is: 5,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.88 : 9,811.67 = 3,923.21 : x
  2. Step 2: Convert to fraction form
    7,109.88/9,811.67 = 3,923.21/x
  3. Step 3: Cross multiply
    7,109.88x = 9,811.67 × 3,923.21
  4. Step 4: Simplify right side
    7,109.88x = 38,493,241.86
  5. Step 5: Solve for x
    x = 38,493,241.86/7,109.88
  6. Step 6: Final answer
    x = 5,414.05

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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.