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Finding the Fourth Proportional to 6,136.21, 9,204.86 and 1,976.32

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Solution

The fourth proportional to 6,136.21, 9,204.86 and 1,976.32 is: 2,964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.21 : 9,204.86 = 1,976.32 : x
  2. Step 2: Convert to fraction form
    6,136.21/9,204.86 = 1,976.32/x
  3. Step 3: Cross multiply
    6,136.21x = 9,204.86 × 1,976.32
  4. Step 4: Simplify right side
    6,136.21x = 18,191,748.92
  5. Step 5: Solve for x
    x = 18,191,748.92/6,136.21
  6. Step 6: Final answer
    x = 2,964.66

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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.