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Finding the Fourth Proportional to 9,261.14, 13,879.35 and 8,022.75

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Solution

The fourth proportional to 9,261.14, 13,879.35 and 8,022.75 is: 12,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.14 : 13,879.35 = 8,022.75 : x
  2. Step 2: Convert to fraction form
    9,261.14/13,879.35 = 8,022.75/x
  3. Step 3: Cross multiply
    9,261.14x = 13,879.35 × 8,022.75
  4. Step 4: Simplify right side
    9,261.14x = 111,350,503.16
  5. Step 5: Solve for x
    x = 111,350,503.16/9,261.14
  6. Step 6: Final answer
    x = 12,023.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.