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Finding the Fourth Proportional to 9,984.45, 13,778.05 and 6,004.79

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Solution

The fourth proportional to 9,984.45, 13,778.05 and 6,004.79 is: 8,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.45 : 13,778.05 = 6,004.79 : x
  2. Step 2: Convert to fraction form
    9,984.45/13,778.05 = 6,004.79/x
  3. Step 3: Cross multiply
    9,984.45x = 13,778.05 × 6,004.79
  4. Step 4: Simplify right side
    9,984.45x = 82,734,296.86
  5. Step 5: Solve for x
    x = 82,734,296.86/9,984.45
  6. Step 6: Final answer
    x = 8,286.31

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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.