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Finding the Fourth Proportional to 7,922.80, 10,954.34 and 6,938.65

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Solution

The fourth proportional to 7,922.80, 10,954.34 and 6,938.65 is: 9,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.80 : 10,954.34 = 6,938.65 : x
  2. Step 2: Convert to fraction form
    7,922.80/10,954.34 = 6,938.65/x
  3. Step 3: Cross multiply
    7,922.80x = 10,954.34 × 6,938.65
  4. Step 4: Simplify right side
    7,922.80x = 76,008,331.24
  5. Step 5: Solve for x
    x = 76,008,331.24/7,922.80
  6. Step 6: Final answer
    x = 9,593.62

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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.