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Finding the Fourth Proportional to 9,236.98, 13,855.47 and 2,311.48

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Solution

The fourth proportional to 9,236.98, 13,855.47 and 2,311.48 is: 3,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.98 : 13,855.47 = 2,311.48 : x
  2. Step 2: Convert to fraction form
    9,236.98/13,855.47 = 2,311.48/x
  3. Step 3: Cross multiply
    9,236.98x = 13,855.47 × 2,311.48
  4. Step 4: Simplify right side
    9,236.98x = 32,026,641.80
  5. Step 5: Solve for x
    x = 32,026,641.80/9,236.98
  6. Step 6: Final answer
    x = 3,467.22

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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.