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Finding the Fourth Proportional to 8,438.96, 12,657.33 and 2,199.43

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Solution

The fourth proportional to 8,438.96, 12,657.33 and 2,199.43 is: 3,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.96 : 12,657.33 = 2,199.43 : x
  2. Step 2: Convert to fraction form
    8,438.96/12,657.33 = 2,199.43/x
  3. Step 3: Cross multiply
    8,438.96x = 12,657.33 × 2,199.43
  4. Step 4: Simplify right side
    8,438.96x = 27,838,927.14
  5. Step 5: Solve for x
    x = 27,838,927.14/8,438.96
  6. Step 6: Final answer
    x = 3,298.86

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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.