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Finding the Fourth Proportional to 9,223.99, 12,728.96 and 5,245.02

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Solution

The fourth proportional to 9,223.99, 12,728.96 and 5,245.02 is: 7,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.99 : 12,728.96 = 5,245.02 : x
  2. Step 2: Convert to fraction form
    9,223.99/12,728.96 = 5,245.02/x
  3. Step 3: Cross multiply
    9,223.99x = 12,728.96 × 5,245.02
  4. Step 4: Simplify right side
    9,223.99x = 66,763,672.73
  5. Step 5: Solve for x
    x = 66,763,672.73/9,223.99
  6. Step 6: Final answer
    x = 7,238.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.