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Finding the Fourth Proportional to 9,401.87, 12,974.44 and 5,152.91

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Solution

The fourth proportional to 9,401.87, 12,974.44 and 5,152.91 is: 7,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.87 : 12,974.44 = 5,152.91 : x
  2. Step 2: Convert to fraction form
    9,401.87/12,974.44 = 5,152.91/x
  3. Step 3: Cross multiply
    9,401.87x = 12,974.44 × 5,152.91
  4. Step 4: Simplify right side
    9,401.87x = 66,856,121.62
  5. Step 5: Solve for x
    x = 66,856,121.62/9,401.87
  6. Step 6: Final answer
    x = 7,110.94

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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.