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Finding the Fourth Proportional to 9,797.69, 14,698.35 and 3,228.48

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Solution

The fourth proportional to 9,797.69, 14,698.35 and 3,228.48 is: 4,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.69 : 14,698.35 = 3,228.48 : x
  2. Step 2: Convert to fraction form
    9,797.69/14,698.35 = 3,228.48/x
  3. Step 3: Cross multiply
    9,797.69x = 14,698.35 × 3,228.48
  4. Step 4: Simplify right side
    9,797.69x = 47,453,329.01
  5. Step 5: Solve for x
    x = 47,453,329.01/9,797.69
  6. Step 6: Final answer
    x = 4,843.32

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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.