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Finding the Fourth Proportional to 6,406.35, 9,611.42 and 3,288.55

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Solution

The fourth proportional to 6,406.35, 9,611.42 and 3,288.55 is: 4,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.35 : 9,611.42 = 3,288.55 : x
  2. Step 2: Convert to fraction form
    6,406.35/9,611.42 = 3,288.55/x
  3. Step 3: Cross multiply
    6,406.35x = 9,611.42 × 3,288.55
  4. Step 4: Simplify right side
    6,406.35x = 31,607,635.24
  5. Step 5: Solve for x
    x = 31,607,635.24/6,406.35
  6. Step 6: Final answer
    x = 4,933.80

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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.