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Finding the Fourth Proportional to 9,698.94, 14,542.34 and 4,149.23

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Solution

The fourth proportional to 9,698.94, 14,542.34 and 4,149.23 is: 6,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.94 : 14,542.34 = 4,149.23 : x
  2. Step 2: Convert to fraction form
    9,698.94/14,542.34 = 4,149.23/x
  3. Step 3: Cross multiply
    9,698.94x = 14,542.34 × 4,149.23
  4. Step 4: Simplify right side
    9,698.94x = 60,339,419.94
  5. Step 5: Solve for x
    x = 60,339,419.94/9,698.94
  6. Step 6: Final answer
    x = 6,221.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.