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Finding the Fourth Proportional to 6,975.89, 9,627.19 and 3,832.11

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Solution

The fourth proportional to 6,975.89, 9,627.19 and 3,832.11 is: 5,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.89 : 9,627.19 = 3,832.11 : x
  2. Step 2: Convert to fraction form
    6,975.89/9,627.19 = 3,832.11/x
  3. Step 3: Cross multiply
    6,975.89x = 9,627.19 × 3,832.11
  4. Step 4: Simplify right side
    6,975.89x = 36,892,412.52
  5. Step 5: Solve for x
    x = 36,892,412.52/6,975.89
  6. Step 6: Final answer
    x = 5,288.56

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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.