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Finding the Fourth Proportional to 9,842.87, 14,766.80 and 3,269.09

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Solution

The fourth proportional to 9,842.87, 14,766.80 and 3,269.09 is: 4,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.87 : 14,766.80 = 3,269.09 : x
  2. Step 2: Convert to fraction form
    9,842.87/14,766.80 = 3,269.09/x
  3. Step 3: Cross multiply
    9,842.87x = 14,766.80 × 3,269.09
  4. Step 4: Simplify right side
    9,842.87x = 48,273,998.21
  5. Step 5: Solve for x
    x = 48,273,998.21/9,842.87
  6. Step 6: Final answer
    x = 4,904.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.