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Finding the Fourth Proportional to 9,850.60, 14,759.19 and 5,946.82

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Solution

The fourth proportional to 9,850.60, 14,759.19 and 5,946.82 is: 8,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.60 : 14,759.19 = 5,946.82 : x
  2. Step 2: Convert to fraction form
    9,850.60/14,759.19 = 5,946.82/x
  3. Step 3: Cross multiply
    9,850.60x = 14,759.19 × 5,946.82
  4. Step 4: Simplify right side
    9,850.60x = 87,770,246.28
  5. Step 5: Solve for x
    x = 87,770,246.28/9,850.60
  6. Step 6: Final answer
    x = 8,910.14

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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.