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Finding the Fourth Proportional to 9,231.68, 13,847.52 and 2,306.18

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Solution

The fourth proportional to 9,231.68, 13,847.52 and 2,306.18 is: 3,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.68 : 13,847.52 = 2,306.18 : x
  2. Step 2: Convert to fraction form
    9,231.68/13,847.52 = 2,306.18/x
  3. Step 3: Cross multiply
    9,231.68x = 13,847.52 × 2,306.18
  4. Step 4: Simplify right side
    9,231.68x = 31,934,873.67
  5. Step 5: Solve for x
    x = 31,934,873.67/9,231.68
  6. Step 6: Final answer
    x = 3,459.27

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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.