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Finding the Fourth Proportional to 9,879.22, 14,822.83 and 4,329.64

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Solution

The fourth proportional to 9,879.22, 14,822.83 and 4,329.64 is: 6,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.22 : 14,822.83 = 4,329.64 : x
  2. Step 2: Convert to fraction form
    9,879.22/14,822.83 = 4,329.64/x
  3. Step 3: Cross multiply
    9,879.22x = 14,822.83 × 4,329.64
  4. Step 4: Simplify right side
    9,879.22x = 64,177,517.68
  5. Step 5: Solve for x
    x = 64,177,517.68/9,879.22
  6. Step 6: Final answer
    x = 6,496.21

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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.