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Finding the Fourth Proportional to 6,463.41, 8,923.05 and 3,946.11

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Solution

The fourth proportional to 6,463.41, 8,923.05 and 3,946.11 is: 5,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.41 : 8,923.05 = 3,946.11 : x
  2. Step 2: Convert to fraction form
    6,463.41/8,923.05 = 3,946.11/x
  3. Step 3: Cross multiply
    6,463.41x = 8,923.05 × 3,946.11
  4. Step 4: Simplify right side
    6,463.41x = 35,211,336.84
  5. Step 5: Solve for x
    x = 35,211,336.84/6,463.41
  6. Step 6: Final answer
    x = 5,447.80

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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.