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Finding the Fourth Proportional to 6,178.05, 9,267.12 and 4,943.88

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Solution

The fourth proportional to 6,178.05, 9,267.12 and 4,943.88 is: 7,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.05 : 9,267.12 = 4,943.88 : x
  2. Step 2: Convert to fraction form
    6,178.05/9,267.12 = 4,943.88/x
  3. Step 3: Cross multiply
    6,178.05x = 9,267.12 × 4,943.88
  4. Step 4: Simplify right side
    6,178.05x = 45,815,529.23
  5. Step 5: Solve for x
    x = 45,815,529.23/6,178.05
  6. Step 6: Final answer
    x = 7,415.86

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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.