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Finding the Fourth Proportional to 6,674.83, 9,211.62 and 3,842.64

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Solution

The fourth proportional to 6,674.83, 9,211.62 and 3,842.64 is: 5,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.83 : 9,211.62 = 3,842.64 : x
  2. Step 2: Convert to fraction form
    6,674.83/9,211.62 = 3,842.64/x
  3. Step 3: Cross multiply
    6,674.83x = 9,211.62 × 3,842.64
  4. Step 4: Simplify right side
    6,674.83x = 35,396,939.48
  5. Step 5: Solve for x
    x = 35,396,939.48/6,674.83
  6. Step 6: Final answer
    x = 5,303.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.