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Finding the Fourth Proportional to 6,463.02, 8,919.95 and 3,946.60

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Solution

The fourth proportional to 6,463.02, 8,919.95 and 3,946.60 is: 5,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.02 : 8,919.95 = 3,946.60 : x
  2. Step 2: Convert to fraction form
    6,463.02/8,919.95 = 3,946.60/x
  3. Step 3: Cross multiply
    6,463.02x = 8,919.95 × 3,946.60
  4. Step 4: Simplify right side
    6,463.02x = 35,203,474.67
  5. Step 5: Solve for x
    x = 35,203,474.67/6,463.02
  6. Step 6: Final answer
    x = 5,446.91

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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.