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Finding the Fourth Proportional to 9,806.09, 13,531.32 and 5,556.83

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Solution

The fourth proportional to 9,806.09, 13,531.32 and 5,556.83 is: 7,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.09 : 13,531.32 = 5,556.83 : x
  2. Step 2: Convert to fraction form
    9,806.09/13,531.32 = 5,556.83/x
  3. Step 3: Cross multiply
    9,806.09x = 13,531.32 × 5,556.83
  4. Step 4: Simplify right side
    9,806.09x = 75,191,177.26
  5. Step 5: Solve for x
    x = 75,191,177.26/9,806.09
  6. Step 6: Final answer
    x = 7,667.81

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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.