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Finding the Fourth Proportional to 9,214.84, 13,822.20 and 2,641.04

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Solution

The fourth proportional to 9,214.84, 13,822.20 and 2,641.04 is: 3,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.84 : 13,822.20 = 2,641.04 : x
  2. Step 2: Convert to fraction form
    9,214.84/13,822.20 = 2,641.04/x
  3. Step 3: Cross multiply
    9,214.84x = 13,822.20 × 2,641.04
  4. Step 4: Simplify right side
    9,214.84x = 36,504,983.09
  5. Step 5: Solve for x
    x = 36,504,983.09/9,214.84
  6. Step 6: Final answer
    x = 3,961.54

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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.