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Finding the Fourth Proportional to 9,836.82, 13,573.26 and 5,644.26

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Solution

The fourth proportional to 9,836.82, 13,573.26 and 5,644.26 is: 7,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.82 : 13,573.26 = 5,644.26 : x
  2. Step 2: Convert to fraction form
    9,836.82/13,573.26 = 5,644.26/x
  3. Step 3: Cross multiply
    9,836.82x = 13,573.26 × 5,644.26
  4. Step 4: Simplify right side
    9,836.82x = 76,611,008.49
  5. Step 5: Solve for x
    x = 76,611,008.49/9,836.82
  6. Step 6: Final answer
    x = 7,788.19

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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.