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Finding the Fourth Proportional to 9,771.63, 13,479.37 and 5,996.62

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Solution

The fourth proportional to 9,771.63, 13,479.37 and 5,996.62 is: 8,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.63 : 13,479.37 = 5,996.62 : x
  2. Step 2: Convert to fraction form
    9,771.63/13,479.37 = 5,996.62/x
  3. Step 3: Cross multiply
    9,771.63x = 13,479.37 × 5,996.62
  4. Step 4: Simplify right side
    9,771.63x = 80,830,659.73
  5. Step 5: Solve for x
    x = 80,830,659.73/9,771.63
  6. Step 6: Final answer
    x = 8,271.97

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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.