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Finding the Fourth Proportional to 7,097.14, 9,793.57 and 4,112.44

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Solution

The fourth proportional to 7,097.14, 9,793.57 and 4,112.44 is: 5,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.14 : 9,793.57 = 4,112.44 : x
  2. Step 2: Convert to fraction form
    7,097.14/9,793.57 = 4,112.44/x
  3. Step 3: Cross multiply
    7,097.14x = 9,793.57 × 4,112.44
  4. Step 4: Simplify right side
    7,097.14x = 40,275,420.04
  5. Step 5: Solve for x
    x = 40,275,420.04/7,097.14
  6. Step 6: Final answer
    x = 5,674.88

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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.