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Finding the Fourth Proportional to 6,194.58, 9,289.20 and 3,851.07

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Solution

The fourth proportional to 6,194.58, 9,289.20 and 3,851.07 is: 5,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.58 : 9,289.20 = 3,851.07 : x
  2. Step 2: Convert to fraction form
    6,194.58/9,289.20 = 3,851.07/x
  3. Step 3: Cross multiply
    6,194.58x = 9,289.20 × 3,851.07
  4. Step 4: Simplify right side
    6,194.58x = 35,773,359.44
  5. Step 5: Solve for x
    x = 35,773,359.44/6,194.58
  6. Step 6: Final answer
    x = 5,774.95

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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.