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Finding the Fourth Proportional to 9,832.84, 14,714.60 and 6,136.80

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Solution

The fourth proportional to 9,832.84, 14,714.60 and 6,136.80 is: 9,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.84 : 14,714.60 = 6,136.80 : x
  2. Step 2: Convert to fraction form
    9,832.84/14,714.60 = 6,136.80/x
  3. Step 3: Cross multiply
    9,832.84x = 14,714.60 × 6,136.80
  4. Step 4: Simplify right side
    9,832.84x = 90,300,557.28
  5. Step 5: Solve for x
    x = 90,300,557.28/9,832.84
  6. Step 6: Final answer
    x = 9,183.57

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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.