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Finding the Fourth Proportional to 9,229.37, 13,846.25 and 2,989.39

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Solution

The fourth proportional to 9,229.37, 13,846.25 and 2,989.39 is: 4,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.37 : 13,846.25 = 2,989.39 : x
  2. Step 2: Convert to fraction form
    9,229.37/13,846.25 = 2,989.39/x
  3. Step 3: Cross multiply
    9,229.37x = 13,846.25 × 2,989.39
  4. Step 4: Simplify right side
    9,229.37x = 41,391,841.29
  5. Step 5: Solve for x
    x = 41,391,841.29/9,229.37
  6. Step 6: Final answer
    x = 4,484.80

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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.