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Finding the Fourth Proportional to 6,396.04, 8,824.11 and 3,877.23

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Solution

The fourth proportional to 6,396.04, 8,824.11 and 3,877.23 is: 5,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.04 : 8,824.11 = 3,877.23 : x
  2. Step 2: Convert to fraction form
    6,396.04/8,824.11 = 3,877.23/x
  3. Step 3: Cross multiply
    6,396.04x = 8,824.11 × 3,877.23
  4. Step 4: Simplify right side
    6,396.04x = 34,213,137.11
  5. Step 5: Solve for x
    x = 34,213,137.11/6,396.04
  6. Step 6: Final answer
    x = 5,349.11

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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.