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Finding the Fourth Proportional to 9,799.29, 13,523.49 and 6,022.62

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Solution

The fourth proportional to 9,799.29, 13,523.49 and 6,022.62 is: 8,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.29 : 13,523.49 = 6,022.62 : x
  2. Step 2: Convert to fraction form
    9,799.29/13,523.49 = 6,022.62/x
  3. Step 3: Cross multiply
    9,799.29x = 13,523.49 × 6,022.62
  4. Step 4: Simplify right side
    9,799.29x = 81,446,841.34
  5. Step 5: Solve for x
    x = 81,446,841.34/9,799.29
  6. Step 6: Final answer
    x = 8,311.50

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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.