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Finding the Fourth Proportional to 9,439.98, 13,027.50 and 5,191.22

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Solution

The fourth proportional to 9,439.98, 13,027.50 and 5,191.22 is: 7,164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.98 : 13,027.50 = 5,191.22 : x
  2. Step 2: Convert to fraction form
    9,439.98/13,027.50 = 5,191.22/x
  3. Step 3: Cross multiply
    9,439.98x = 13,027.50 × 5,191.22
  4. Step 4: Simplify right side
    9,439.98x = 67,628,553.41
  5. Step 5: Solve for x
    x = 67,628,553.41/9,439.98
  6. Step 6: Final answer
    x = 7,164.06

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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.