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Finding the Fourth Proportional to 9,269.84, 13,904.64 and 2,249.91

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Solution

The fourth proportional to 9,269.84, 13,904.64 and 2,249.91 is: 3,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.84 : 13,904.64 = 2,249.91 : x
  2. Step 2: Convert to fraction form
    9,269.84/13,904.64 = 2,249.91/x
  3. Step 3: Cross multiply
    9,269.84x = 13,904.64 × 2,249.91
  4. Step 4: Simplify right side
    9,269.84x = 31,284,136.44
  5. Step 5: Solve for x
    x = 31,284,136.44/9,269.84
  6. Step 6: Final answer
    x = 3,374.83

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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.