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Finding the Fourth Proportional to 9,986.92, 13,782.39 and 5,739.35

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Solution

The fourth proportional to 9,986.92, 13,782.39 and 5,739.35 is: 7,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.92 : 13,782.39 = 5,739.35 : x
  2. Step 2: Convert to fraction form
    9,986.92/13,782.39 = 5,739.35/x
  3. Step 3: Cross multiply
    9,986.92x = 13,782.39 × 5,739.35
  4. Step 4: Simplify right side
    9,986.92x = 79,101,960.05
  5. Step 5: Solve for x
    x = 79,101,960.05/9,986.92
  6. Step 6: Final answer
    x = 7,920.56

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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.