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Finding the Fourth Proportional to 6,178.26, 9,267.48 and 2,482.20

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Solution

The fourth proportional to 6,178.26, 9,267.48 and 2,482.20 is: 3,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.26 : 9,267.48 = 2,482.20 : x
  2. Step 2: Convert to fraction form
    6,178.26/9,267.48 = 2,482.20/x
  3. Step 3: Cross multiply
    6,178.26x = 9,267.48 × 2,482.20
  4. Step 4: Simplify right side
    6,178.26x = 23,003,738.86
  5. Step 5: Solve for x
    x = 23,003,738.86/6,178.26
  6. Step 6: Final answer
    x = 3,723.34

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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.