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Finding the Fourth Proportional to 6,138.18, 9,205.14 and 3,794.60

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Solution

The fourth proportional to 6,138.18, 9,205.14 and 3,794.60 is: 5,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.18 : 9,205.14 = 3,794.60 : x
  2. Step 2: Convert to fraction form
    6,138.18/9,205.14 = 3,794.60/x
  3. Step 3: Cross multiply
    6,138.18x = 9,205.14 × 3,794.60
  4. Step 4: Simplify right side
    6,138.18x = 34,929,809.71
  5. Step 5: Solve for x
    x = 34,929,809.71/6,138.18
  6. Step 6: Final answer
    x = 5,690.58

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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.