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Finding the Fourth Proportional to 6,186.30, 9,279.48 and 1,803.78

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Solution

The fourth proportional to 6,186.30, 9,279.48 and 1,803.78 is: 2,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.30 : 9,279.48 = 1,803.78 : x
  2. Step 2: Convert to fraction form
    6,186.30/9,279.48 = 1,803.78/x
  3. Step 3: Cross multiply
    6,186.30x = 9,279.48 × 1,803.78
  4. Step 4: Simplify right side
    6,186.30x = 16,738,140.43
  5. Step 5: Solve for x
    x = 16,738,140.43/6,186.30
  6. Step 6: Final answer
    x = 2,705.68

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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.