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Finding the Fourth Proportional to 6,136.76, 9,203.30 and 2,187.31

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Solution

The fourth proportional to 6,136.76, 9,203.30 and 2,187.31 is: 3,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.76 : 9,203.30 = 2,187.31 : x
  2. Step 2: Convert to fraction form
    6,136.76/9,203.30 = 2,187.31/x
  3. Step 3: Cross multiply
    6,136.76x = 9,203.30 × 2,187.31
  4. Step 4: Simplify right side
    6,136.76x = 20,130,470.12
  5. Step 5: Solve for x
    x = 20,130,470.12/6,136.76
  6. Step 6: Final answer
    x = 3,280.31

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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.