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Finding the Fourth Proportional to 8,416.88, 12,627.14 and 3,222.75

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Solution

The fourth proportional to 8,416.88, 12,627.14 and 3,222.75 is: 4,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.88 : 12,627.14 = 3,222.75 : x
  2. Step 2: Convert to fraction form
    8,416.88/12,627.14 = 3,222.75/x
  3. Step 3: Cross multiply
    8,416.88x = 12,627.14 × 3,222.75
  4. Step 4: Simplify right side
    8,416.88x = 40,694,099.32
  5. Step 5: Solve for x
    x = 40,694,099.32/8,416.88
  6. Step 6: Final answer
    x = 4,834.82

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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.