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Finding the Fourth Proportional to 7,249.14, 9,997.56 and 5,574.60

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Solution

The fourth proportional to 7,249.14, 9,997.56 and 5,574.60 is: 7,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.14 : 9,997.56 = 5,574.60 : x
  2. Step 2: Convert to fraction form
    7,249.14/9,997.56 = 5,574.60/x
  3. Step 3: Cross multiply
    7,249.14x = 9,997.56 × 5,574.60
  4. Step 4: Simplify right side
    7,249.14x = 55,732,397.98
  5. Step 5: Solve for x
    x = 55,732,397.98/7,249.14
  6. Step 6: Final answer
    x = 7,688.14

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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.