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Finding the Fourth Proportional to 6,178.69, 9,267.05 and 2,018.66

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Solution

The fourth proportional to 6,178.69, 9,267.05 and 2,018.66 is: 3,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.69 : 9,267.05 = 2,018.66 : x
  2. Step 2: Convert to fraction form
    6,178.69/9,267.05 = 2,018.66/x
  3. Step 3: Cross multiply
    6,178.69x = 9,267.05 × 2,018.66
  4. Step 4: Simplify right side
    6,178.69x = 18,707,036.23
  5. Step 5: Solve for x
    x = 18,707,036.23/6,178.69
  6. Step 6: Final answer
    x = 3,027.67

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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.