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Finding the Fourth Proportional to 9,791.65, 13,512.70 and 5,812.77

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Solution

The fourth proportional to 9,791.65, 13,512.70 and 5,812.77 is: 8,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.65 : 13,512.70 = 5,812.77 : x
  2. Step 2: Convert to fraction form
    9,791.65/13,512.70 = 5,812.77/x
  3. Step 3: Cross multiply
    9,791.65x = 13,512.70 × 5,812.77
  4. Step 4: Simplify right side
    9,791.65x = 78,546,188.12
  5. Step 5: Solve for x
    x = 78,546,188.12/9,791.65
  6. Step 6: Final answer
    x = 8,021.76

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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.