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Finding the Fourth Proportional to 9,247, 13,873.99 and 5,551.80

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Solution

The fourth proportional to 9,247, 13,873.99 and 5,551.80 is: 8,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247 : 13,873.99 = 5,551.80 : x
  2. Step 2: Convert to fraction form
    9,247/13,873.99 = 5,551.80/x
  3. Step 3: Cross multiply
    9,247x = 13,873.99 × 5,551.80
  4. Step 4: Simplify right side
    9,247x = 77,025,617.68
  5. Step 5: Solve for x
    x = 77,025,617.68/9,247
  6. Step 6: Final answer
    x = 8,329.80

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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.