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Finding the Fourth Proportional to 9,467.10, 13,072.86 and 5,936.40

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Solution

The fourth proportional to 9,467.10, 13,072.86 and 5,936.40 is: 8,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.10 : 13,072.86 = 5,936.40 : x
  2. Step 2: Convert to fraction form
    9,467.10/13,072.86 = 5,936.40/x
  3. Step 3: Cross multiply
    9,467.10x = 13,072.86 × 5,936.40
  4. Step 4: Simplify right side
    9,467.10x = 77,605,726.10
  5. Step 5: Solve for x
    x = 77,605,726.10/9,467.10
  6. Step 6: Final answer
    x = 8,197.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.