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Finding the Fourth Proportional to 9,709.49, 13,399.80 and 5,933.37

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Solution

The fourth proportional to 9,709.49, 13,399.80 and 5,933.37 is: 8,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.49 : 13,399.80 = 5,933.37 : x
  2. Step 2: Convert to fraction form
    9,709.49/13,399.80 = 5,933.37/x
  3. Step 3: Cross multiply
    9,709.49x = 13,399.80 × 5,933.37
  4. Step 4: Simplify right side
    9,709.49x = 79,505,971.33
  5. Step 5: Solve for x
    x = 79,505,971.33/9,709.49
  6. Step 6: Final answer
    x = 8,188.48

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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.