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Finding the Fourth Proportional to 6,837.75, 9,436.10 and 3,693.94

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Solution

The fourth proportional to 6,837.75, 9,436.10 and 3,693.94 is: 5,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.75 : 9,436.10 = 3,693.94 : x
  2. Step 2: Convert to fraction form
    6,837.75/9,436.10 = 3,693.94/x
  3. Step 3: Cross multiply
    6,837.75x = 9,436.10 × 3,693.94
  4. Step 4: Simplify right side
    6,837.75x = 34,856,387.23
  5. Step 5: Solve for x
    x = 34,856,387.23/6,837.75
  6. Step 6: Final answer
    x = 5,097.64

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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.