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Finding the Fourth Proportional to 6,249.69, 9,374.94 and 2,089.53

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Solution

The fourth proportional to 6,249.69, 9,374.94 and 2,089.53 is: 3,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.69 : 9,374.94 = 2,089.53 : x
  2. Step 2: Convert to fraction form
    6,249.69/9,374.94 = 2,089.53/x
  3. Step 3: Cross multiply
    6,249.69x = 9,374.94 × 2,089.53
  4. Step 4: Simplify right side
    6,249.69x = 19,589,218.38
  5. Step 5: Solve for x
    x = 19,589,218.38/6,249.69
  6. Step 6: Final answer
    x = 3,134.43

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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.