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Finding the Fourth Proportional to 9,286.70, 12,816.24 and 6,137.42

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Solution

The fourth proportional to 9,286.70, 12,816.24 and 6,137.42 is: 8,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.70 : 12,816.24 = 6,137.42 : x
  2. Step 2: Convert to fraction form
    9,286.70/12,816.24 = 6,137.42/x
  3. Step 3: Cross multiply
    9,286.70x = 12,816.24 × 6,137.42
  4. Step 4: Simplify right side
    9,286.70x = 78,658,647.70
  5. Step 5: Solve for x
    x = 78,658,647.70/9,286.70
  6. Step 6: Final answer
    x = 8,470.03

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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.