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Finding the Fourth Proportional to 9,822.82, 13,553.17 and 5,572.94

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Solution

The fourth proportional to 9,822.82, 13,553.17 and 5,572.94 is: 7,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.82 : 13,553.17 = 5,572.94 : x
  2. Step 2: Convert to fraction form
    9,822.82/13,553.17 = 5,572.94/x
  3. Step 3: Cross multiply
    9,822.82x = 13,553.17 × 5,572.94
  4. Step 4: Simplify right side
    9,822.82x = 75,531,003.22
  5. Step 5: Solve for x
    x = 75,531,003.22/9,822.82
  6. Step 6: Final answer
    x = 7,689.34

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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.