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Finding the Fourth Proportional to 6,433.40, 9,649.47 and 3,311.75

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Solution

The fourth proportional to 6,433.40, 9,649.47 and 3,311.75 is: 4,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.40 : 9,649.47 = 3,311.75 : x
  2. Step 2: Convert to fraction form
    6,433.40/9,649.47 = 3,311.75/x
  3. Step 3: Cross multiply
    6,433.40x = 9,649.47 × 3,311.75
  4. Step 4: Simplify right side
    6,433.40x = 31,956,584.03
  5. Step 5: Solve for x
    x = 31,956,584.03/6,433.40
  6. Step 6: Final answer
    x = 4,967.30

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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.