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Finding the Fourth Proportional to 8,202.22, 11,319.52 and 6,209.26

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Solution

The fourth proportional to 8,202.22, 11,319.52 and 6,209.26 is: 8,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.22 : 11,319.52 = 6,209.26 : x
  2. Step 2: Convert to fraction form
    8,202.22/11,319.52 = 6,209.26/x
  3. Step 3: Cross multiply
    8,202.22x = 11,319.52 × 6,209.26
  4. Step 4: Simplify right side
    8,202.22x = 70,285,842.76
  5. Step 5: Solve for x
    x = 70,285,842.76/8,202.22
  6. Step 6: Final answer
    x = 8,569.12

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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.