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Finding the Fourth Proportional to 6,927.40, 9,557.44 and 3,942.49

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Solution

The fourth proportional to 6,927.40, 9,557.44 and 3,942.49 is: 5,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.40 : 9,557.44 = 3,942.49 : x
  2. Step 2: Convert to fraction form
    6,927.40/9,557.44 = 3,942.49/x
  3. Step 3: Cross multiply
    6,927.40x = 9,557.44 × 3,942.49
  4. Step 4: Simplify right side
    6,927.40x = 37,680,044.13
  5. Step 5: Solve for x
    x = 37,680,044.13/6,927.40
  6. Step 6: Final answer
    x = 5,439.28

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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.