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Finding the Fourth Proportional to 6,922.16, 9,552.94 and 3,938.42

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Solution

The fourth proportional to 6,922.16, 9,552.94 and 3,938.42 is: 5,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.16 : 9,552.94 = 3,938.42 : x
  2. Step 2: Convert to fraction form
    6,922.16/9,552.94 = 3,938.42/x
  3. Step 3: Cross multiply
    6,922.16x = 9,552.94 × 3,938.42
  4. Step 4: Simplify right side
    6,922.16x = 37,623,503.99
  5. Step 5: Solve for x
    x = 37,623,503.99/6,922.16
  6. Step 6: Final answer
    x = 5,435.23

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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.