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Finding the Fourth Proportional to 6,855.39, 9,459.90 and 3,871.49

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Solution

The fourth proportional to 6,855.39, 9,459.90 and 3,871.49 is: 5,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.39 : 9,459.90 = 3,871.49 : x
  2. Step 2: Convert to fraction form
    6,855.39/9,459.90 = 3,871.49/x
  3. Step 3: Cross multiply
    6,855.39x = 9,459.90 × 3,871.49
  4. Step 4: Simplify right side
    6,855.39x = 36,623,860.95
  5. Step 5: Solve for x
    x = 36,623,860.95/6,855.39
  6. Step 6: Final answer
    x = 5,342.35

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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.