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Finding the Fourth Proportional to 9,383.10, 14,074.65 and 8,231.10

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Solution

The fourth proportional to 9,383.10, 14,074.65 and 8,231.10 is: 12,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.10 : 14,074.65 = 8,231.10 : x
  2. Step 2: Convert to fraction form
    9,383.10/14,074.65 = 8,231.10/x
  3. Step 3: Cross multiply
    9,383.10x = 14,074.65 × 8,231.10
  4. Step 4: Simplify right side
    9,383.10x = 115,849,851.62
  5. Step 5: Solve for x
    x = 115,849,851.62/9,383.10
  6. Step 6: Final answer
    x = 12,346.65

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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.