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Finding the Fourth Proportional to 8,984.20, 13,469.82 and 6,055.24

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Solution

The fourth proportional to 8,984.20, 13,469.82 and 6,055.24 is: 9,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.20 : 13,469.82 = 6,055.24 : x
  2. Step 2: Convert to fraction form
    8,984.20/13,469.82 = 6,055.24/x
  3. Step 3: Cross multiply
    8,984.20x = 13,469.82 × 6,055.24
  4. Step 4: Simplify right side
    8,984.20x = 81,562,992.86
  5. Step 5: Solve for x
    x = 81,562,992.86/8,984.20
  6. Step 6: Final answer
    x = 9,078.49

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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.