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Finding the Fourth Proportional to 8,976.24, 13,469.04 and 6,784.32

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Solution

The fourth proportional to 8,976.24, 13,469.04 and 6,784.32 is: 10,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.24 : 13,469.04 = 6,784.32 : x
  2. Step 2: Convert to fraction form
    8,976.24/13,469.04 = 6,784.32/x
  3. Step 3: Cross multiply
    8,976.24x = 13,469.04 × 6,784.32
  4. Step 4: Simplify right side
    8,976.24x = 91,378,277.45
  5. Step 5: Solve for x
    x = 91,378,277.45/8,976.24
  6. Step 6: Final answer
    x = 10,180.02

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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.