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Finding the Fourth Proportional to 9,494.37, 14,239.89 and 2,567.25

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Solution

The fourth proportional to 9,494.37, 14,239.89 and 2,567.25 is: 3,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.37 : 14,239.89 = 2,567.25 : x
  2. Step 2: Convert to fraction form
    9,494.37/14,239.89 = 2,567.25/x
  3. Step 3: Cross multiply
    9,494.37x = 14,239.89 × 2,567.25
  4. Step 4: Simplify right side
    9,494.37x = 36,557,357.60
  5. Step 5: Solve for x
    x = 36,557,357.60/9,494.37
  6. Step 6: Final answer
    x = 3,850.42

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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.