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Finding the Fourth Proportional to 9,802.82, 13,524.91 and 5,553.20

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Solution

The fourth proportional to 9,802.82, 13,524.91 and 5,553.20 is: 7,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.82 : 13,524.91 = 5,553.20 : x
  2. Step 2: Convert to fraction form
    9,802.82/13,524.91 = 5,553.20/x
  3. Step 3: Cross multiply
    9,802.82x = 13,524.91 × 5,553.20
  4. Step 4: Simplify right side
    9,802.82x = 75,106,550.14
  5. Step 5: Solve for x
    x = 75,106,550.14/9,802.82
  6. Step 6: Final answer
    x = 7,661.73

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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.