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Finding the Fourth Proportional to 9,447.24, 14,171 and 3,291.24

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Solution

The fourth proportional to 9,447.24, 14,171 and 3,291.24 is: 4,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.24 : 14,171 = 3,291.24 : x
  2. Step 2: Convert to fraction form
    9,447.24/14,171 = 3,291.24/x
  3. Step 3: Cross multiply
    9,447.24x = 14,171 × 3,291.24
  4. Step 4: Simplify right side
    9,447.24x = 46,640,162.04
  5. Step 5: Solve for x
    x = 46,640,162.04/9,447.24
  6. Step 6: Final answer
    x = 4,936.91

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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.