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Finding the Fourth Proportional to 9,243, 13,864.62 and 2,669.25

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Solution

The fourth proportional to 9,243, 13,864.62 and 2,669.25 is: 4,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243 : 13,864.62 = 2,669.25 : x
  2. Step 2: Convert to fraction form
    9,243/13,864.62 = 2,669.25/x
  3. Step 3: Cross multiply
    9,243x = 13,864.62 × 2,669.25
  4. Step 4: Simplify right side
    9,243x = 37,008,136.94
  5. Step 5: Solve for x
    x = 37,008,136.94/9,243
  6. Step 6: Final answer
    x = 4,003.91

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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.