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Finding the Fourth Proportional to 6,136.84, 8,468.94 and 3,342.34

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Solution

The fourth proportional to 6,136.84, 8,468.94 and 3,342.34 is: 4,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.84 : 8,468.94 = 3,342.34 : x
  2. Step 2: Convert to fraction form
    6,136.84/8,468.94 = 3,342.34/x
  3. Step 3: Cross multiply
    6,136.84x = 8,468.94 × 3,342.34
  4. Step 4: Simplify right side
    6,136.84x = 28,306,076.92
  5. Step 5: Solve for x
    x = 28,306,076.92/6,136.84
  6. Step 6: Final answer
    x = 4,612.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.