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Finding the Fourth Proportional to 6,936.92, 10,393.27 and 5,774.40

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Solution

The fourth proportional to 6,936.92, 10,393.27 and 5,774.40 is: 8,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.92 : 10,393.27 = 5,774.40 : x
  2. Step 2: Convert to fraction form
    6,936.92/10,393.27 = 5,774.40/x
  3. Step 3: Cross multiply
    6,936.92x = 10,393.27 × 5,774.40
  4. Step 4: Simplify right side
    6,936.92x = 60,014,898.29
  5. Step 5: Solve for x
    x = 60,014,898.29/6,936.92
  6. Step 6: Final answer
    x = 8,651.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.