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Finding the Fourth Proportional to 9,219.52, 12,722.77 and 5,027.77

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Solution

The fourth proportional to 9,219.52, 12,722.77 and 5,027.77 is: 6,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.52 : 12,722.77 = 5,027.77 : x
  2. Step 2: Convert to fraction form
    9,219.52/12,722.77 = 5,027.77/x
  3. Step 3: Cross multiply
    9,219.52x = 12,722.77 × 5,027.77
  4. Step 4: Simplify right side
    9,219.52x = 63,967,161.32
  5. Step 5: Solve for x
    x = 63,967,161.32/9,219.52
  6. Step 6: Final answer
    x = 6,938.23

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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.