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Finding the Fourth Proportional to 6,178.91, 9,262.93 and 3,211.10

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Solution

The fourth proportional to 6,178.91, 9,262.93 and 3,211.10 is: 4,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.91 : 9,262.93 = 3,211.10 : x
  2. Step 2: Convert to fraction form
    6,178.91/9,262.93 = 3,211.10/x
  3. Step 3: Cross multiply
    6,178.91x = 9,262.93 × 3,211.10
  4. Step 4: Simplify right side
    6,178.91x = 29,744,178.47
  5. Step 5: Solve for x
    x = 29,744,178.47/6,178.91
  6. Step 6: Final answer
    x = 4,813.83

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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.