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Finding the Fourth Proportional to 10,097.43, 13,940.84 and 7,440.22

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Solution

The fourth proportional to 10,097.43, 13,940.84 and 7,440.22 is: 10,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.43 : 13,940.84 = 7,440.22 : x
  2. Step 2: Convert to fraction form
    10,097.43/13,940.84 = 7,440.22/x
  3. Step 3: Cross multiply
    10,097.43x = 13,940.84 × 7,440.22
  4. Step 4: Simplify right side
    10,097.43x = 103,722,916.58
  5. Step 5: Solve for x
    x = 103,722,916.58/10,097.43
  6. Step 6: Final answer
    x = 10,272.21

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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.