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Finding the Fourth Proportional to 6,855.65, 9,461.16 and 3,871.61

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Solution

The fourth proportional to 6,855.65, 9,461.16 and 3,871.61 is: 5,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.65 : 9,461.16 = 3,871.61 : x
  2. Step 2: Convert to fraction form
    6,855.65/9,461.16 = 3,871.61/x
  3. Step 3: Cross multiply
    6,855.65x = 9,461.16 × 3,871.61
  4. Step 4: Simplify right side
    6,855.65x = 36,629,874.36
  5. Step 5: Solve for x
    x = 36,629,874.36/6,855.65
  6. Step 6: Final answer
    x = 5,343.02

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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.