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Finding the Fourth Proportional to 8,638.26, 12,954.78 and 2,396.76

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Solution

The fourth proportional to 8,638.26, 12,954.78 and 2,396.76 is: 3,594.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.26 : 12,954.78 = 2,396.76 : x
  2. Step 2: Convert to fraction form
    8,638.26/12,954.78 = 2,396.76/x
  3. Step 3: Cross multiply
    8,638.26x = 12,954.78 × 2,396.76
  4. Step 4: Simplify right side
    8,638.26x = 31,049,498.51
  5. Step 5: Solve for x
    x = 31,049,498.51/8,638.26
  6. Step 6: Final answer
    x = 3,594.42

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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.