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Finding the Fourth Proportional to 9,822.42, 13,553.06 and 6,837.17

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Solution

The fourth proportional to 9,822.42, 13,553.06 and 6,837.17 is: 9,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.42 : 13,553.06 = 6,837.17 : x
  2. Step 2: Convert to fraction form
    9,822.42/13,553.06 = 6,837.17/x
  3. Step 3: Cross multiply
    9,822.42x = 13,553.06 × 6,837.17
  4. Step 4: Simplify right side
    9,822.42x = 92,664,473.29
  5. Step 5: Solve for x
    x = 92,664,473.29/9,822.42
  6. Step 6: Final answer
    x = 9,433.98

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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.