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Finding the Fourth Proportional to 6,348.98, 8,761.67 and 3,696.64

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Solution

The fourth proportional to 6,348.98, 8,761.67 and 3,696.64 is: 5,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.98 : 8,761.67 = 3,696.64 : x
  2. Step 2: Convert to fraction form
    6,348.98/8,761.67 = 3,696.64/x
  3. Step 3: Cross multiply
    6,348.98x = 8,761.67 × 3,696.64
  4. Step 4: Simplify right side
    6,348.98x = 32,388,713.26
  5. Step 5: Solve for x
    x = 32,388,713.26/6,348.98
  6. Step 6: Final answer
    x = 5,101.40

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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.