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Finding the Fourth Proportional to 9,949.57, 13,729.35 and 5,914.96

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Solution

The fourth proportional to 9,949.57, 13,729.35 and 5,914.96 is: 8,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.57 : 13,729.35 = 5,914.96 : x
  2. Step 2: Convert to fraction form
    9,949.57/13,729.35 = 5,914.96/x
  3. Step 3: Cross multiply
    9,949.57x = 13,729.35 × 5,914.96
  4. Step 4: Simplify right side
    9,949.57x = 81,208,556.08
  5. Step 5: Solve for x
    x = 81,208,556.08/9,949.57
  6. Step 6: Final answer
    x = 8,162.02

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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.