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Finding the Fourth Proportional to 9,236.68, 13,855.02 and 2,311.18

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Solution

The fourth proportional to 9,236.68, 13,855.02 and 2,311.18 is: 3,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.68 : 13,855.02 = 2,311.18 : x
  2. Step 2: Convert to fraction form
    9,236.68/13,855.02 = 2,311.18/x
  3. Step 3: Cross multiply
    9,236.68x = 13,855.02 × 2,311.18
  4. Step 4: Simplify right side
    9,236.68x = 32,021,445.12
  5. Step 5: Solve for x
    x = 32,021,445.12/9,236.68
  6. Step 6: Final answer
    x = 3,466.77

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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.