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Finding the Fourth Proportional to 10,209.22, 15,317.97 and 6,920.44

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Solution

The fourth proportional to 10,209.22, 15,317.97 and 6,920.44 is: 10,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.22 : 15,317.97 = 6,920.44 : x
  2. Step 2: Convert to fraction form
    10,209.22/15,317.97 = 6,920.44/x
  3. Step 3: Cross multiply
    10,209.22x = 15,317.97 × 6,920.44
  4. Step 4: Simplify right side
    10,209.22x = 106,007,092.31
  5. Step 5: Solve for x
    x = 106,007,092.31/10,209.22
  6. Step 6: Final answer
    x = 10,383.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.