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Finding the Fourth Proportional to 10,450.22, 14,425.09 and 6,914.57

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Solution

The fourth proportional to 10,450.22, 14,425.09 and 6,914.57 is: 9,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.22 : 14,425.09 = 6,914.57 : x
  2. Step 2: Convert to fraction form
    10,450.22/14,425.09 = 6,914.57/x
  3. Step 3: Cross multiply
    10,450.22x = 14,425.09 × 6,914.57
  4. Step 4: Simplify right side
    10,450.22x = 99,743,205.15
  5. Step 5: Solve for x
    x = 99,743,205.15/10,450.22
  6. Step 6: Final answer
    x = 9,544.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.