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Finding the Fourth Proportional to 9,230.81, 13,825.37 and 6,469.77

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Solution

The fourth proportional to 9,230.81, 13,825.37 and 6,469.77 is: 9,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.81 : 13,825.37 = 6,469.77 : x
  2. Step 2: Convert to fraction form
    9,230.81/13,825.37 = 6,469.77/x
  3. Step 3: Cross multiply
    9,230.81x = 13,825.37 × 6,469.77
  4. Step 4: Simplify right side
    9,230.81x = 89,446,995.69
  5. Step 5: Solve for x
    x = 89,446,995.69/9,230.81
  6. Step 6: Final answer
    x = 9,690.05

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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.