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Finding the Fourth Proportional to 10,966.69, 15,119.22 and 9,471.43

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Solution

The fourth proportional to 10,966.69, 15,119.22 and 9,471.43 is: 13,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.69 : 15,119.22 = 9,471.43 : x
  2. Step 2: Convert to fraction form
    10,966.69/15,119.22 = 9,471.43/x
  3. Step 3: Cross multiply
    10,966.69x = 15,119.22 × 9,471.43
  4. Step 4: Simplify right side
    10,966.69x = 143,200,633.88
  5. Step 5: Solve for x
    x = 143,200,633.88/10,966.69
  6. Step 6: Final answer
    x = 13,057.78

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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.