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Finding the Fourth Proportional to 7,109.92, 9,811.66 and 3,966.10

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Solution

The fourth proportional to 7,109.92, 9,811.66 and 3,966.10 is: 5,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.92 : 9,811.66 = 3,966.10 : x
  2. Step 2: Convert to fraction form
    7,109.92/9,811.66 = 3,966.10/x
  3. Step 3: Cross multiply
    7,109.92x = 9,811.66 × 3,966.10
  4. Step 4: Simplify right side
    7,109.92x = 38,914,024.73
  5. Step 5: Solve for x
    x = 38,914,024.73/7,109.92
  6. Step 6: Final answer
    x = 5,473.20

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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.