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Finding the Fourth Proportional to 6,871.30, 9,482.37 and 3,727.48

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Solution

The fourth proportional to 6,871.30, 9,482.37 and 3,727.48 is: 5,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.30 : 9,482.37 = 3,727.48 : x
  2. Step 2: Convert to fraction form
    6,871.30/9,482.37 = 3,727.48/x
  3. Step 3: Cross multiply
    6,871.30x = 9,482.37 × 3,727.48
  4. Step 4: Simplify right side
    6,871.30x = 35,345,344.53
  5. Step 5: Solve for x
    x = 35,345,344.53/6,871.30
  6. Step 6: Final answer
    x = 5,143.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.