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Finding the Fourth Proportional to 6,205.06, 8,556.60 and 5,365.09

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Solution

The fourth proportional to 6,205.06, 8,556.60 and 5,365.09 is: 7,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.06 : 8,556.60 = 5,365.09 : x
  2. Step 2: Convert to fraction form
    6,205.06/8,556.60 = 5,365.09/x
  3. Step 3: Cross multiply
    6,205.06x = 8,556.60 × 5,365.09
  4. Step 4: Simplify right side
    6,205.06x = 45,906,929.09
  5. Step 5: Solve for x
    x = 45,906,929.09/6,205.06
  6. Step 6: Final answer
    x = 7,398.31

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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.