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Finding the Fourth Proportional to 6,348.66, 8,755.71 and 3,830.23

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Solution

The fourth proportional to 6,348.66, 8,755.71 and 3,830.23 is: 5,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.66 : 8,755.71 = 3,830.23 : x
  2. Step 2: Convert to fraction form
    6,348.66/8,755.71 = 3,830.23/x
  3. Step 3: Cross multiply
    6,348.66x = 8,755.71 × 3,830.23
  4. Step 4: Simplify right side
    6,348.66x = 33,536,383.11
  5. Step 5: Solve for x
    x = 33,536,383.11/6,348.66
  6. Step 6: Final answer
    x = 5,282.43

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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.