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Finding the Fourth Proportional to 6,770.10, 9,342.94 and 3,786.06

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Solution

The fourth proportional to 6,770.10, 9,342.94 and 3,786.06 is: 5,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.10 : 9,342.94 = 3,786.06 : x
  2. Step 2: Convert to fraction form
    6,770.10/9,342.94 = 3,786.06/x
  3. Step 3: Cross multiply
    6,770.10x = 9,342.94 × 3,786.06
  4. Step 4: Simplify right side
    6,770.10x = 35,372,931.42
  5. Step 5: Solve for x
    x = 35,372,931.42/6,770.10
  6. Step 6: Final answer
    x = 5,224.88

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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.