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Finding the Fourth Proportional to 8,976.34, 13,464.46 and 3,782.21

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Solution

The fourth proportional to 8,976.34, 13,464.46 and 3,782.21 is: 5,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.34 : 13,464.46 = 3,782.21 : x
  2. Step 2: Convert to fraction form
    8,976.34/13,464.46 = 3,782.21/x
  3. Step 3: Cross multiply
    8,976.34x = 13,464.46 × 3,782.21
  4. Step 4: Simplify right side
    8,976.34x = 50,925,396.35
  5. Step 5: Solve for x
    x = 50,925,396.35/8,976.34
  6. Step 6: Final answer
    x = 5,673.29

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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.