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Finding the Fourth Proportional to 5,949.64, 8,914.74 and 5,722.12

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Solution

The fourth proportional to 5,949.64, 8,914.74 and 5,722.12 is: 8,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.64 : 8,914.74 = 5,722.12 : x
  2. Step 2: Convert to fraction form
    5,949.64/8,914.74 = 5,722.12/x
  3. Step 3: Cross multiply
    5,949.64x = 8,914.74 × 5,722.12
  4. Step 4: Simplify right side
    5,949.64x = 51,011,212.05
  5. Step 5: Solve for x
    x = 51,011,212.05/5,949.64
  6. Step 6: Final answer
    x = 8,573.83

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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.