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Finding the Fourth Proportional to 9,491.72, 14,229.86 and 8,453.75

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Solution

The fourth proportional to 9,491.72, 14,229.86 and 8,453.75 is: 12,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.72 : 14,229.86 = 8,453.75 : x
  2. Step 2: Convert to fraction form
    9,491.72/14,229.86 = 8,453.75/x
  3. Step 3: Cross multiply
    9,491.72x = 14,229.86 × 8,453.75
  4. Step 4: Simplify right side
    9,491.72x = 120,295,565.56
  5. Step 5: Solve for x
    x = 120,295,565.56/9,491.72
  6. Step 6: Final answer
    x = 12,673.74

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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.