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Finding the Fourth Proportional to 6,127.80, 9,180.90 and 3,816.60

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Solution

The fourth proportional to 6,127.80, 9,180.90 and 3,816.60 is: 5,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.80 : 9,180.90 = 3,816.60 : x
  2. Step 2: Convert to fraction form
    6,127.80/9,180.90 = 3,816.60/x
  3. Step 3: Cross multiply
    6,127.80x = 9,180.90 × 3,816.60
  4. Step 4: Simplify right side
    6,127.80x = 35,039,822.94
  5. Step 5: Solve for x
    x = 35,039,822.94/6,127.80
  6. Step 6: Final answer
    x = 5,718.17

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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.