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Finding the Fourth Proportional to 6,840.02, 9,439.22 and 3,696.20

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Solution

The fourth proportional to 6,840.02, 9,439.22 and 3,696.20 is: 5,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.02 : 9,439.22 = 3,696.20 : x
  2. Step 2: Convert to fraction form
    6,840.02/9,439.22 = 3,696.20/x
  3. Step 3: Cross multiply
    6,840.02x = 9,439.22 × 3,696.20
  4. Step 4: Simplify right side
    6,840.02x = 34,889,226.48
  5. Step 5: Solve for x
    x = 34,889,226.48/6,840.02
  6. Step 6: Final answer
    x = 5,100.75

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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.