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Finding the Fourth Proportional to 6,855.26, 9,460.10 and 3,871.00

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Solution

The fourth proportional to 6,855.26, 9,460.10 and 3,871.00 is: 5,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.26 : 9,460.10 = 3,871.00 : x
  2. Step 2: Convert to fraction form
    6,855.26/9,460.10 = 3,871.00/x
  3. Step 3: Cross multiply
    6,855.26x = 9,460.10 × 3,871.00
  4. Step 4: Simplify right side
    6,855.26x = 36,619,980.44
  5. Step 5: Solve for x
    x = 36,619,980.44/6,855.26
  6. Step 6: Final answer
    x = 5,341.88

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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.