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Finding the Fourth Proportional to 6,662.12, 9,193.80 and 3,677.96

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Solution

The fourth proportional to 6,662.12, 9,193.80 and 3,677.96 is: 5,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.12 : 9,193.80 = 3,677.96 : x
  2. Step 2: Convert to fraction form
    6,662.12/9,193.80 = 3,677.96/x
  3. Step 3: Cross multiply
    6,662.12x = 9,193.80 × 3,677.96
  4. Step 4: Simplify right side
    6,662.12x = 33,814,364.29
  5. Step 5: Solve for x
    x = 33,814,364.29/6,662.12
  6. Step 6: Final answer
    x = 5,075.62

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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.