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Finding the Fourth Proportional to 7,109.80, 9,811.49 and 3,965.98

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Solution

The fourth proportional to 7,109.80, 9,811.49 and 3,965.98 is: 5,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.80 : 9,811.49 = 3,965.98 : x
  2. Step 2: Convert to fraction form
    7,109.80/9,811.49 = 3,965.98/x
  3. Step 3: Cross multiply
    7,109.80x = 9,811.49 × 3,965.98
  4. Step 4: Simplify right side
    7,109.80x = 38,912,173.11
  5. Step 5: Solve for x
    x = 38,912,173.11/7,109.80
  6. Step 6: Final answer
    x = 5,473.04

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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.