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Finding the Fourth Proportional to 6,975.86, 9,626.69 and 3,832.05

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Solution

The fourth proportional to 6,975.86, 9,626.69 and 3,832.05 is: 5,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.86 : 9,626.69 = 3,832.05 : x
  2. Step 2: Convert to fraction form
    6,975.86/9,626.69 = 3,832.05/x
  3. Step 3: Cross multiply
    6,975.86x = 9,626.69 × 3,832.05
  4. Step 4: Simplify right side
    6,975.86x = 36,889,957.41
  5. Step 5: Solve for x
    x = 36,889,957.41/6,975.86
  6. Step 6: Final answer
    x = 5,288.23

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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.