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Finding the Fourth Proportional to 6,178.92, 9,266.25 and 2,668.77

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Solution

The fourth proportional to 6,178.92, 9,266.25 and 2,668.77 is: 4,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.92 : 9,266.25 = 2,668.77 : x
  2. Step 2: Convert to fraction form
    6,178.92/9,266.25 = 2,668.77/x
  3. Step 3: Cross multiply
    6,178.92x = 9,266.25 × 2,668.77
  4. Step 4: Simplify right side
    6,178.92x = 24,729,490.01
  5. Step 5: Solve for x
    x = 24,729,490.01/6,178.92
  6. Step 6: Final answer
    x = 4,002.24

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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.