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Finding the Fourth Proportional to 6,908.67, 9,534.15 and 3,765.06

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Solution

The fourth proportional to 6,908.67, 9,534.15 and 3,765.06 is: 5,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.67 : 9,534.15 = 3,765.06 : x
  2. Step 2: Convert to fraction form
    6,908.67/9,534.15 = 3,765.06/x
  3. Step 3: Cross multiply
    6,908.67x = 9,534.15 × 3,765.06
  4. Step 4: Simplify right side
    6,908.67x = 35,896,646.80
  5. Step 5: Solve for x
    x = 35,896,646.80/6,908.67
  6. Step 6: Final answer
    x = 5,195.88

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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.