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Finding the Fourth Proportional to 6,194.60, 9,299.10 and 3,732.20

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Solution

The fourth proportional to 6,194.60, 9,299.10 and 3,732.20 is: 5,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.60 : 9,299.10 = 3,732.20 : x
  2. Step 2: Convert to fraction form
    6,194.60/9,299.10 = 3,732.20/x
  3. Step 3: Cross multiply
    6,194.60x = 9,299.10 × 3,732.20
  4. Step 4: Simplify right side
    6,194.60x = 34,706,101.02
  5. Step 5: Solve for x
    x = 34,706,101.02/6,194.60
  6. Step 6: Final answer
    x = 5,602.64

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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.