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Finding the Fourth Proportional to 7,961.22, 10,989.42 and 6,837.64

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Solution

The fourth proportional to 7,961.22, 10,989.42 and 6,837.64 is: 9,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.22 : 10,989.42 = 6,837.64 : x
  2. Step 2: Convert to fraction form
    7,961.22/10,989.42 = 6,837.64/x
  3. Step 3: Cross multiply
    7,961.22x = 10,989.42 × 6,837.64
  4. Step 4: Simplify right side
    7,961.22x = 75,141,697.77
  5. Step 5: Solve for x
    x = 75,141,697.77/7,961.22
  6. Step 6: Final answer
    x = 9,438.47

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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.