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Finding the Fourth Proportional to 9,499.96, 14,238.26 and 5,331.22

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Solution

The fourth proportional to 9,499.96, 14,238.26 and 5,331.22 is: 7,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.96 : 14,238.26 = 5,331.22 : x
  2. Step 2: Convert to fraction form
    9,499.96/14,238.26 = 5,331.22/x
  3. Step 3: Cross multiply
    9,499.96x = 14,238.26 × 5,331.22
  4. Step 4: Simplify right side
    9,499.96x = 75,907,239.22
  5. Step 5: Solve for x
    x = 75,907,239.22/9,499.96
  6. Step 6: Final answer
    x = 7,990.27

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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.