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Finding the Fourth Proportional to 9,766.21, 14,669.15 and 8,622.15

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Solution

The fourth proportional to 9,766.21, 14,669.15 and 8,622.15 is: 12,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.21 : 14,669.15 = 8,622.15 : x
  2. Step 2: Convert to fraction form
    9,766.21/14,669.15 = 8,622.15/x
  3. Step 3: Cross multiply
    9,766.21x = 14,669.15 × 8,622.15
  4. Step 4: Simplify right side
    9,766.21x = 126,479,568.56
  5. Step 5: Solve for x
    x = 126,479,568.56/9,766.21
  6. Step 6: Final answer
    x = 12,950.74

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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.