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Finding the Fourth Proportional to 6,178.20, 9,266.01 and 2,279.94

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Solution

The fourth proportional to 6,178.20, 9,266.01 and 2,279.94 is: 3,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.20 : 9,266.01 = 2,279.94 : x
  2. Step 2: Convert to fraction form
    6,178.20/9,266.01 = 2,279.94/x
  3. Step 3: Cross multiply
    6,178.20x = 9,266.01 × 2,279.94
  4. Step 4: Simplify right side
    6,178.20x = 21,125,946.84
  5. Step 5: Solve for x
    x = 21,125,946.84/6,178.20
  6. Step 6: Final answer
    x = 3,419.43

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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.