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Finding the Fourth Proportional to 6,855.93, 9,461.19 and 3,871.77

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Solution

The fourth proportional to 6,855.93, 9,461.19 and 3,871.77 is: 5,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.93 : 9,461.19 = 3,871.77 : x
  2. Step 2: Convert to fraction form
    6,855.93/9,461.19 = 3,871.77/x
  3. Step 3: Cross multiply
    6,855.93x = 9,461.19 × 3,871.77
  4. Step 4: Simplify right side
    6,855.93x = 36,631,551.61
  5. Step 5: Solve for x
    x = 36,631,551.61/6,855.93
  6. Step 6: Final answer
    x = 5,343.05

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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.