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Finding the Fourth Proportional to 6,794.49, 9,376.80 and 3,810.49

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Solution

The fourth proportional to 6,794.49, 9,376.80 and 3,810.49 is: 5,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.49 : 9,376.80 = 3,810.49 : x
  2. Step 2: Convert to fraction form
    6,794.49/9,376.80 = 3,810.49/x
  3. Step 3: Cross multiply
    6,794.49x = 9,376.80 × 3,810.49
  4. Step 4: Simplify right side
    6,794.49x = 35,730,136.70
  5. Step 5: Solve for x
    x = 35,730,136.70/6,794.49
  6. Step 6: Final answer
    x = 5,258.70

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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.