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Finding the Fourth Proportional to 7,109.40, 9,811.02 and 3,965.80

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Solution

The fourth proportional to 7,109.40, 9,811.02 and 3,965.80 is: 5,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.40 : 9,811.02 = 3,965.80 : x
  2. Step 2: Convert to fraction form
    7,109.40/9,811.02 = 3,965.80/x
  3. Step 3: Cross multiply
    7,109.40x = 9,811.02 × 3,965.80
  4. Step 4: Simplify right side
    7,109.40x = 38,908,543.12
  5. Step 5: Solve for x
    x = 38,908,543.12/7,109.40
  6. Step 6: Final answer
    x = 5,472.83

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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.