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Finding the Fourth Proportional to 7,109.84, 9,811.53 and 3,966

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Solution

The fourth proportional to 7,109.84, 9,811.53 and 3,966 is: 5,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.84 : 9,811.53 = 3,966 : x
  2. Step 2: Convert to fraction form
    7,109.84/9,811.53 = 3,966/x
  3. Step 3: Cross multiply
    7,109.84x = 9,811.53 × 3,966
  4. Step 4: Simplify right side
    7,109.84x = 38,912,527.98
  5. Step 5: Solve for x
    x = 38,912,527.98/7,109.84
  6. Step 6: Final answer
    x = 5,473.06

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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.