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Finding the Fourth Proportional to 9,866.33, 13,613.09 and 6,334.33

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Solution

The fourth proportional to 9,866.33, 13,613.09 and 6,334.33 is: 8,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.33 : 13,613.09 = 6,334.33 : x
  2. Step 2: Convert to fraction form
    9,866.33/13,613.09 = 6,334.33/x
  3. Step 3: Cross multiply
    9,866.33x = 13,613.09 × 6,334.33
  4. Step 4: Simplify right side
    9,866.33x = 86,229,736.31
  5. Step 5: Solve for x
    x = 86,229,736.31/9,866.33
  6. Step 6: Final answer
    x = 8,739.80

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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.