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Finding the Fourth Proportional to 9,108.48, 13,666.05 and 3,844.80

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Solution

The fourth proportional to 9,108.48, 13,666.05 and 3,844.80 is: 5,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.48 : 13,666.05 = 3,844.80 : x
  2. Step 2: Convert to fraction form
    9,108.48/13,666.05 = 3,844.80/x
  3. Step 3: Cross multiply
    9,108.48x = 13,666.05 × 3,844.80
  4. Step 4: Simplify right side
    9,108.48x = 52,543,229.04
  5. Step 5: Solve for x
    x = 52,543,229.04/9,108.48
  6. Step 6: Final answer
    x = 5,768.61

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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.