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Finding the Fourth Proportional to 6,193.94, 9,289.04 and 3,270.65

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Solution

The fourth proportional to 6,193.94, 9,289.04 and 3,270.65 is: 4,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.94 : 9,289.04 = 3,270.65 : x
  2. Step 2: Convert to fraction form
    6,193.94/9,289.04 = 3,270.65/x
  3. Step 3: Cross multiply
    6,193.94x = 9,289.04 × 3,270.65
  4. Step 4: Simplify right side
    6,193.94x = 30,381,135.88
  5. Step 5: Solve for x
    x = 30,381,135.88/6,193.94
  6. Step 6: Final answer
    x = 4,904.98

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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.