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Finding the Fourth Proportional to 6,136.85, 9,186.31 and 4,026.05

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Solution

The fourth proportional to 6,136.85, 9,186.31 and 4,026.05 is: 6,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.85 : 9,186.31 = 4,026.05 : x
  2. Step 2: Convert to fraction form
    6,136.85/9,186.31 = 4,026.05/x
  3. Step 3: Cross multiply
    6,136.85x = 9,186.31 × 4,026.05
  4. Step 4: Simplify right side
    6,136.85x = 36,984,588.60
  5. Step 5: Solve for x
    x = 36,984,588.60/6,136.85
  6. Step 6: Final answer
    x = 6,026.64

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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.