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Finding the Fourth Proportional to 9,684.54, 13,361.38 and 6,149.80

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Solution

The fourth proportional to 9,684.54, 13,361.38 and 6,149.80 is: 8,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.54 : 13,361.38 = 6,149.80 : x
  2. Step 2: Convert to fraction form
    9,684.54/13,361.38 = 6,149.80/x
  3. Step 3: Cross multiply
    9,684.54x = 13,361.38 × 6,149.80
  4. Step 4: Simplify right side
    9,684.54x = 82,169,814.72
  5. Step 5: Solve for x
    x = 82,169,814.72/9,684.54
  6. Step 6: Final answer
    x = 8,484.64

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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.