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Finding the Fourth Proportional to 9,802.49, 13,524.17 and 5,553.12

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Solution

The fourth proportional to 9,802.49, 13,524.17 and 5,553.12 is: 7,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.49 : 13,524.17 = 5,553.12 : x
  2. Step 2: Convert to fraction form
    9,802.49/13,524.17 = 5,553.12/x
  3. Step 3: Cross multiply
    9,802.49x = 13,524.17 × 5,553.12
  4. Step 4: Simplify right side
    9,802.49x = 75,101,311.14
  5. Step 5: Solve for x
    x = 75,101,311.14/9,802.49
  6. Step 6: Final answer
    x = 7,661.46

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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.