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Finding the Fourth Proportional to 6,178.86, 9,269.10 and 3,257.37

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Solution

The fourth proportional to 6,178.86, 9,269.10 and 3,257.37 is: 4,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.86 : 9,269.10 = 3,257.37 : x
  2. Step 2: Convert to fraction form
    6,178.86/9,269.10 = 3,257.37/x
  3. Step 3: Cross multiply
    6,178.86x = 9,269.10 × 3,257.37
  4. Step 4: Simplify right side
    6,178.86x = 30,192,888.27
  5. Step 5: Solve for x
    x = 30,192,888.27/6,178.86
  6. Step 6: Final answer
    x = 4,886.48

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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.