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Finding the Fourth Proportional to 9,212.70, 13,821.17 and 2,638.94

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Solution

The fourth proportional to 9,212.70, 13,821.17 and 2,638.94 is: 3,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.70 : 13,821.17 = 2,638.94 : x
  2. Step 2: Convert to fraction form
    9,212.70/13,821.17 = 2,638.94/x
  3. Step 3: Cross multiply
    9,212.70x = 13,821.17 × 2,638.94
  4. Step 4: Simplify right side
    9,212.70x = 36,473,238.36
  5. Step 5: Solve for x
    x = 36,473,238.36/9,212.70
  6. Step 6: Final answer
    x = 3,959.02

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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.