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Finding the Fourth Proportional to 6,670.46, 9,205.92 and 3,837.94

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Solution

The fourth proportional to 6,670.46, 9,205.92 and 3,837.94 is: 5,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.46 : 9,205.92 = 3,837.94 : x
  2. Step 2: Convert to fraction form
    6,670.46/9,205.92 = 3,837.94/x
  3. Step 3: Cross multiply
    6,670.46x = 9,205.92 × 3,837.94
  4. Step 4: Simplify right side
    6,670.46x = 35,331,731.20
  5. Step 5: Solve for x
    x = 35,331,731.20/6,670.46
  6. Step 6: Final answer
    x = 5,296.75

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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.