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Finding the Fourth Proportional to 6,559.92, 9,839.88 and 3,099.60

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Solution

The fourth proportional to 6,559.92, 9,839.88 and 3,099.60 is: 4,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.92 : 9,839.88 = 3,099.60 : x
  2. Step 2: Convert to fraction form
    6,559.92/9,839.88 = 3,099.60/x
  3. Step 3: Cross multiply
    6,559.92x = 9,839.88 × 3,099.60
  4. Step 4: Simplify right side
    6,559.92x = 30,499,692.05
  5. Step 5: Solve for x
    x = 30,499,692.05/6,559.92
  6. Step 6: Final answer
    x = 4,649.40

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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.