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Finding the Fourth Proportional to 9,136.20, 13,671.90 and 6,349.80

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Solution

The fourth proportional to 9,136.20, 13,671.90 and 6,349.80 is: 9,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.20 : 13,671.90 = 6,349.80 : x
  2. Step 2: Convert to fraction form
    9,136.20/13,671.90 = 6,349.80/x
  3. Step 3: Cross multiply
    9,136.20x = 13,671.90 × 6,349.80
  4. Step 4: Simplify right side
    9,136.20x = 86,813,830.62
  5. Step 5: Solve for x
    x = 86,813,830.62/9,136.20
  6. Step 6: Final answer
    x = 9,502.18

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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.