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Finding the Fourth Proportional to 9,704.66, 13,388.37 and 5,976.50

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Solution

The fourth proportional to 9,704.66, 13,388.37 and 5,976.50 is: 8,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.66 : 13,388.37 = 5,976.50 : x
  2. Step 2: Convert to fraction form
    9,704.66/13,388.37 = 5,976.50/x
  3. Step 3: Cross multiply
    9,704.66x = 13,388.37 × 5,976.50
  4. Step 4: Simplify right side
    9,704.66x = 80,015,593.31
  5. Step 5: Solve for x
    x = 80,015,593.31/9,704.66
  6. Step 6: Final answer
    x = 8,245.07

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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.