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Finding the Fourth Proportional to 6,824.84, 9,418.02 and 4,172.36

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Solution

The fourth proportional to 6,824.84, 9,418.02 and 4,172.36 is: 5,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.84 : 9,418.02 = 4,172.36 : x
  2. Step 2: Convert to fraction form
    6,824.84/9,418.02 = 4,172.36/x
  3. Step 3: Cross multiply
    6,824.84x = 9,418.02 × 4,172.36
  4. Step 4: Simplify right side
    6,824.84x = 39,295,369.93
  5. Step 5: Solve for x
    x = 39,295,369.93/6,824.84
  6. Step 6: Final answer
    x = 5,757.70

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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.