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Finding the Fourth Proportional to 9,189.36, 13,773.11 and 4,805.64

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Solution

The fourth proportional to 9,189.36, 13,773.11 and 4,805.64 is: 7,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.36 : 13,773.11 = 4,805.64 : x
  2. Step 2: Convert to fraction form
    9,189.36/13,773.11 = 4,805.64/x
  3. Step 3: Cross multiply
    9,189.36x = 13,773.11 × 4,805.64
  4. Step 4: Simplify right side
    9,189.36x = 66,188,584.31
  5. Step 5: Solve for x
    x = 66,188,584.31/9,189.36
  6. Step 6: Final answer
    x = 7,202.74

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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.