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Finding the Fourth Proportional to 6,136.85, 9,187.05 and 3,670.40

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Solution

The fourth proportional to 6,136.85, 9,187.05 and 3,670.40 is: 5,494.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.85 : 9,187.05 = 3,670.40 : x
  2. Step 2: Convert to fraction form
    6,136.85/9,187.05 = 3,670.40/x
  3. Step 3: Cross multiply
    6,136.85x = 9,187.05 × 3,670.40
  4. Step 4: Simplify right side
    6,136.85x = 33,720,148.32
  5. Step 5: Solve for x
    x = 33,720,148.32/6,136.85
  6. Step 6: Final answer
    x = 5,494.70

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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.