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Finding the Fourth Proportional to 6,406.80, 9,591.30 and 4,770.60

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Solution

The fourth proportional to 6,406.80, 9,591.30 and 4,770.60 is: 7,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.80 : 9,591.30 = 4,770.60 : x
  2. Step 2: Convert to fraction form
    6,406.80/9,591.30 = 4,770.60/x
  3. Step 3: Cross multiply
    6,406.80x = 9,591.30 × 4,770.60
  4. Step 4: Simplify right side
    6,406.80x = 45,756,255.78
  5. Step 5: Solve for x
    x = 45,756,255.78/6,406.80
  6. Step 6: Final answer
    x = 7,141.83

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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.