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Finding the Fourth Proportional to 6,784.16, 9,362.93 and 3,799.41

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Solution

The fourth proportional to 6,784.16, 9,362.93 and 3,799.41 is: 5,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.16 : 9,362.93 = 3,799.41 : x
  2. Step 2: Convert to fraction form
    6,784.16/9,362.93 = 3,799.41/x
  3. Step 3: Cross multiply
    6,784.16x = 9,362.93 × 3,799.41
  4. Step 4: Simplify right side
    6,784.16x = 35,573,608.43
  5. Step 5: Solve for x
    x = 35,573,608.43/6,784.16
  6. Step 6: Final answer
    x = 5,243.63

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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.