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Finding the Fourth Proportional to 6,670.33, 9,204.82 and 3,686.11

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Solution

The fourth proportional to 6,670.33, 9,204.82 and 3,686.11 is: 5,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.33 : 9,204.82 = 3,686.11 : x
  2. Step 2: Convert to fraction form
    6,670.33/9,204.82 = 3,686.11/x
  3. Step 3: Cross multiply
    6,670.33x = 9,204.82 × 3,686.11
  4. Step 4: Simplify right side
    6,670.33x = 33,929,979.05
  5. Step 5: Solve for x
    x = 33,929,979.05/6,670.33
  6. Step 6: Final answer
    x = 5,086.70

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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.