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Finding the Fourth Proportional to 9,571.72, 14,357.58 and 2,997.94

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Solution

The fourth proportional to 9,571.72, 14,357.58 and 2,997.94 is: 4,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.72 : 14,357.58 = 2,997.94 : x
  2. Step 2: Convert to fraction form
    9,571.72/14,357.58 = 2,997.94/x
  3. Step 3: Cross multiply
    9,571.72x = 14,357.58 × 2,997.94
  4. Step 4: Simplify right side
    9,571.72x = 43,043,163.39
  5. Step 5: Solve for x
    x = 43,043,163.39/9,571.72
  6. Step 6: Final answer
    x = 4,496.91

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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.