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Finding the Fourth Proportional to 10,469.75, 14,447.36 and 6,162.39

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Solution

The fourth proportional to 10,469.75, 14,447.36 and 6,162.39 is: 8,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.75 : 14,447.36 = 6,162.39 : x
  2. Step 2: Convert to fraction form
    10,469.75/14,447.36 = 6,162.39/x
  3. Step 3: Cross multiply
    10,469.75x = 14,447.36 × 6,162.39
  4. Step 4: Simplify right side
    10,469.75x = 89,030,172.09
  5. Step 5: Solve for x
    x = 89,030,172.09/10,469.75
  6. Step 6: Final answer
    x = 8,503.56

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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.