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Finding the Fourth Proportional to 6,282.74, 9,419.24 and 2,997.38

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Solution

The fourth proportional to 6,282.74, 9,419.24 and 2,997.38 is: 4,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.74 : 9,419.24 = 2,997.38 : x
  2. Step 2: Convert to fraction form
    6,282.74/9,419.24 = 2,997.38/x
  3. Step 3: Cross multiply
    6,282.74x = 9,419.24 × 2,997.38
  4. Step 4: Simplify right side
    6,282.74x = 28,232,979.51
  5. Step 5: Solve for x
    x = 28,232,979.51/6,282.74
  6. Step 6: Final answer
    x = 4,493.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.