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Finding the Fourth Proportional to 6,186.41, 9,279.69 and 3,412.55

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Solution

The fourth proportional to 6,186.41, 9,279.69 and 3,412.55 is: 5,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.41 : 9,279.69 = 3,412.55 : x
  2. Step 2: Convert to fraction form
    6,186.41/9,279.69 = 3,412.55/x
  3. Step 3: Cross multiply
    6,186.41x = 9,279.69 × 3,412.55
  4. Step 4: Simplify right side
    6,186.41x = 31,667,406.11
  5. Step 5: Solve for x
    x = 31,667,406.11/6,186.41
  6. Step 6: Final answer
    x = 5,118.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.