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Finding the Fourth Proportional to 9,421.92, 14,103.72 and 8,022.24

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Solution

The fourth proportional to 9,421.92, 14,103.72 and 8,022.24 is: 12,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.92 : 14,103.72 = 8,022.24 : x
  2. Step 2: Convert to fraction form
    9,421.92/14,103.72 = 8,022.24/x
  3. Step 3: Cross multiply
    9,421.92x = 14,103.72 × 8,022.24
  4. Step 4: Simplify right side
    9,421.92x = 113,143,426.73
  5. Step 5: Solve for x
    x = 113,143,426.73/9,421.92
  6. Step 6: Final answer
    x = 12,008.53

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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.