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Finding the Fourth Proportional to 6,476.36, 8,935.11 and 3,822.80

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Solution

The fourth proportional to 6,476.36, 8,935.11 and 3,822.80 is: 5,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.36 : 8,935.11 = 3,822.80 : x
  2. Step 2: Convert to fraction form
    6,476.36/8,935.11 = 3,822.80/x
  3. Step 3: Cross multiply
    6,476.36x = 8,935.11 × 3,822.80
  4. Step 4: Simplify right side
    6,476.36x = 34,157,093.83
  5. Step 5: Solve for x
    x = 34,157,093.83/6,476.36
  6. Step 6: Final answer
    x = 5,274.12

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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.