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Finding the Fourth Proportional to 9,488.76, 14,231.34 and 3,163.71

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Solution

The fourth proportional to 9,488.76, 14,231.34 and 3,163.71 is: 4,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.76 : 14,231.34 = 3,163.71 : x
  2. Step 2: Convert to fraction form
    9,488.76/14,231.34 = 3,163.71/x
  3. Step 3: Cross multiply
    9,488.76x = 14,231.34 × 3,163.71
  4. Step 4: Simplify right side
    9,488.76x = 45,023,832.67
  5. Step 5: Solve for x
    x = 45,023,832.67/9,488.76
  6. Step 6: Final answer
    x = 4,744.96

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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.