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Finding the Fourth Proportional to 6,140.98, 9,200.46 and 3,732.33

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Solution

The fourth proportional to 6,140.98, 9,200.46 and 3,732.33 is: 5,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.98 : 9,200.46 = 3,732.33 : x
  2. Step 2: Convert to fraction form
    6,140.98/9,200.46 = 3,732.33/x
  3. Step 3: Cross multiply
    6,140.98x = 9,200.46 × 3,732.33
  4. Step 4: Simplify right side
    6,140.98x = 34,339,152.87
  5. Step 5: Solve for x
    x = 34,339,152.87/6,140.98
  6. Step 6: Final answer
    x = 5,591.80

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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.