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Finding the Fourth Proportional to 9,494.25, 14,239.72 and 2,567.13

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Solution

The fourth proportional to 9,494.25, 14,239.72 and 2,567.13 is: 3,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.25 : 14,239.72 = 2,567.13 : x
  2. Step 2: Convert to fraction form
    9,494.25/14,239.72 = 2,567.13/x
  3. Step 3: Cross multiply
    9,494.25x = 14,239.72 × 2,567.13
  4. Step 4: Simplify right side
    9,494.25x = 36,555,212.40
  5. Step 5: Solve for x
    x = 36,555,212.40/9,494.25
  6. Step 6: Final answer
    x = 3,850.25

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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.