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Finding the Fourth Proportional to 9,771.92, 13,485.26 and 5,795

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Solution

The fourth proportional to 9,771.92, 13,485.26 and 5,795 is: 7,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.92 : 13,485.26 = 5,795 : x
  2. Step 2: Convert to fraction form
    9,771.92/13,485.26 = 5,795/x
  3. Step 3: Cross multiply
    9,771.92x = 13,485.26 × 5,795
  4. Step 4: Simplify right side
    9,771.92x = 78,147,081.70
  5. Step 5: Solve for x
    x = 78,147,081.70/9,771.92
  6. Step 6: Final answer
    x = 7,997.11

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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.