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Finding the Fourth Proportional to 6,323.92, 8,727.64 and 4,727.80

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Solution

The fourth proportional to 6,323.92, 8,727.64 and 4,727.80 is: 6,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.92 : 8,727.64 = 4,727.80 : x
  2. Step 2: Convert to fraction form
    6,323.92/8,727.64 = 4,727.80/x
  3. Step 3: Cross multiply
    6,323.92x = 8,727.64 × 4,727.80
  4. Step 4: Simplify right side
    6,323.92x = 41,262,536.39
  5. Step 5: Solve for x
    x = 41,262,536.39/6,323.92
  6. Step 6: Final answer
    x = 6,524.84

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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.