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Finding the Fourth Proportional to 9,791.16, 13,515.48 and 5,814.24

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Solution

The fourth proportional to 9,791.16, 13,515.48 and 5,814.24 is: 8,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.16 : 13,515.48 = 5,814.24 : x
  2. Step 2: Convert to fraction form
    9,791.16/13,515.48 = 5,814.24/x
  3. Step 3: Cross multiply
    9,791.16x = 13,515.48 × 5,814.24
  4. Step 4: Simplify right side
    9,791.16x = 78,582,244.44
  5. Step 5: Solve for x
    x = 78,582,244.44/9,791.16
  6. Step 6: Final answer
    x = 8,025.84

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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.