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Finding the Fourth Proportional to 9,847.69, 14,771.32 and 3,273.94

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Solution

The fourth proportional to 9,847.69, 14,771.32 and 3,273.94 is: 4,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.69 : 14,771.32 = 3,273.94 : x
  2. Step 2: Convert to fraction form
    9,847.69/14,771.32 = 3,273.94/x
  3. Step 3: Cross multiply
    9,847.69x = 14,771.32 × 3,273.94
  4. Step 4: Simplify right side
    9,847.69x = 48,360,415.40
  5. Step 5: Solve for x
    x = 48,360,415.40/9,847.69
  6. Step 6: Final answer
    x = 4,910.84

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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.