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Finding the Fourth Proportional to 9,223.86, 12,728.86 and 5,244.97

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Solution

The fourth proportional to 9,223.86, 12,728.86 and 5,244.97 is: 7,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.86 : 12,728.86 = 5,244.97 : x
  2. Step 2: Convert to fraction form
    9,223.86/12,728.86 = 5,244.97/x
  3. Step 3: Cross multiply
    9,223.86x = 12,728.86 × 5,244.97
  4. Step 4: Simplify right side
    9,223.86x = 66,762,488.83
  5. Step 5: Solve for x
    x = 66,762,488.83/9,223.86
  6. Step 6: Final answer
    x = 7,238.02

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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.