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Finding the Fourth Proportional to 9,245.07, 13,866.22 and 3,400.31

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Solution

The fourth proportional to 9,245.07, 13,866.22 and 3,400.31 is: 5,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.07 : 13,866.22 = 3,400.31 : x
  2. Step 2: Convert to fraction form
    9,245.07/13,866.22 = 3,400.31/x
  3. Step 3: Cross multiply
    9,245.07x = 13,866.22 × 3,400.31
  4. Step 4: Simplify right side
    9,245.07x = 47,149,485.44
  5. Step 5: Solve for x
    x = 47,149,485.44/9,245.07
  6. Step 6: Final answer
    x = 5,099.96

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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.