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Finding the Fourth Proportional to 6,231.94, 8,596.19 and 3,712.32

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Solution

The fourth proportional to 6,231.94, 8,596.19 and 3,712.32 is: 5,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.94 : 8,596.19 = 3,712.32 : x
  2. Step 2: Convert to fraction form
    6,231.94/8,596.19 = 3,712.32/x
  3. Step 3: Cross multiply
    6,231.94x = 8,596.19 × 3,712.32
  4. Step 4: Simplify right side
    6,231.94x = 31,911,817.34
  5. Step 5: Solve for x
    x = 31,911,817.34/6,231.94
  6. Step 6: Final answer
    x = 5,120.69

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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.