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Finding the Fourth Proportional to 9,114.72, 12,578.27 and 5,081.49

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Solution

The fourth proportional to 9,114.72, 12,578.27 and 5,081.49 is: 7,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.72 : 12,578.27 = 5,081.49 : x
  2. Step 2: Convert to fraction form
    9,114.72/12,578.27 = 5,081.49/x
  3. Step 3: Cross multiply
    9,114.72x = 12,578.27 × 5,081.49
  4. Step 4: Simplify right side
    9,114.72x = 63,916,353.22
  5. Step 5: Solve for x
    x = 63,916,353.22/9,114.72
  6. Step 6: Final answer
    x = 7,012.43

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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.