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Finding the Fourth Proportional to 9,822.80, 13,553.96 and 5,843.84

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Solution

The fourth proportional to 9,822.80, 13,553.96 and 5,843.84 is: 8,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.80 : 13,553.96 = 5,843.84 : x
  2. Step 2: Convert to fraction form
    9,822.80/13,553.96 = 5,843.84/x
  3. Step 3: Cross multiply
    9,822.80x = 13,553.96 × 5,843.84
  4. Step 4: Simplify right side
    9,822.80x = 79,207,173.61
  5. Step 5: Solve for x
    x = 79,207,173.61/9,822.80
  6. Step 6: Final answer
    x = 8,063.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.