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Finding the Fourth Proportional to 9,873.81, 14,809.11 and 3,299.99

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Solution

The fourth proportional to 9,873.81, 14,809.11 and 3,299.99 is: 4,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.81 : 14,809.11 = 3,299.99 : x
  2. Step 2: Convert to fraction form
    9,873.81/14,809.11 = 3,299.99/x
  3. Step 3: Cross multiply
    9,873.81x = 14,809.11 × 3,299.99
  4. Step 4: Simplify right side
    9,873.81x = 48,869,840.86
  5. Step 5: Solve for x
    x = 48,869,840.86/9,873.81
  6. Step 6: Final answer
    x = 4,949.44

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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.