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Finding the Fourth Proportional to 6,940.32, 9,577.87 and 3,796.51

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Solution

The fourth proportional to 6,940.32, 9,577.87 and 3,796.51 is: 5,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.32 : 9,577.87 = 3,796.51 : x
  2. Step 2: Convert to fraction form
    6,940.32/9,577.87 = 3,796.51/x
  3. Step 3: Cross multiply
    6,940.32x = 9,577.87 × 3,796.51
  4. Step 4: Simplify right side
    6,940.32x = 36,362,479.23
  5. Step 5: Solve for x
    x = 36,362,479.23/6,940.32
  6. Step 6: Final answer
    x = 5,239.31

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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.