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Finding the Fourth Proportional to 9,698.10, 13,383.99 and 5,449.38

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Solution

The fourth proportional to 9,698.10, 13,383.99 and 5,449.38 is: 7,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.10 : 13,383.99 = 5,449.38 : x
  2. Step 2: Convert to fraction form
    9,698.10/13,383.99 = 5,449.38/x
  3. Step 3: Cross multiply
    9,698.10x = 13,383.99 × 5,449.38
  4. Step 4: Simplify right side
    9,698.10x = 72,934,447.43
  5. Step 5: Solve for x
    x = 72,934,447.43/9,698.10
  6. Step 6: Final answer
    x = 7,520.49

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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.