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Finding the Fourth Proportional to 11,416.43, 15,694.18 and 9,817.22

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Solution

The fourth proportional to 11,416.43, 15,694.18 and 9,817.22 is: 13,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.43 : 15,694.18 = 9,817.22 : x
  2. Step 2: Convert to fraction form
    11,416.43/15,694.18 = 9,817.22/x
  3. Step 3: Cross multiply
    11,416.43x = 15,694.18 × 9,817.22
  4. Step 4: Simplify right side
    11,416.43x = 154,073,217.78
  5. Step 5: Solve for x
    x = 154,073,217.78/11,416.43
  6. Step 6: Final answer
    x = 13,495.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.