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Finding the Fourth Proportional to 6,794.90, 9,376.80 and 3,810.66

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Solution

The fourth proportional to 6,794.90, 9,376.80 and 3,810.66 is: 5,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.90 : 9,376.80 = 3,810.66 : x
  2. Step 2: Convert to fraction form
    6,794.90/9,376.80 = 3,810.66/x
  3. Step 3: Cross multiply
    6,794.90x = 9,376.80 × 3,810.66
  4. Step 4: Simplify right side
    6,794.90x = 35,731,796.69
  5. Step 5: Solve for x
    x = 35,731,796.69/6,794.90
  6. Step 6: Final answer
    x = 5,258.62

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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.