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Finding the Fourth Proportional to 6,651.94, 9,977.98 and 3,188.38

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Solution

The fourth proportional to 6,651.94, 9,977.98 and 3,188.38 is: 4,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.94 : 9,977.98 = 3,188.38 : x
  2. Step 2: Convert to fraction form
    6,651.94/9,977.98 = 3,188.38/x
  3. Step 3: Cross multiply
    6,651.94x = 9,977.98 × 3,188.38
  4. Step 4: Simplify right side
    6,651.94x = 31,813,591.87
  5. Step 5: Solve for x
    x = 31,813,591.87/6,651.94
  6. Step 6: Final answer
    x = 4,782.60

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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.