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Finding the Fourth Proportional to 6,354.32, 9,527.62 and 2,843.68

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Solution

The fourth proportional to 6,354.32, 9,527.62 and 2,843.68 is: 4,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.32 : 9,527.62 = 2,843.68 : x
  2. Step 2: Convert to fraction form
    6,354.32/9,527.62 = 2,843.68/x
  3. Step 3: Cross multiply
    6,354.32x = 9,527.62 × 2,843.68
  4. Step 4: Simplify right side
    6,354.32x = 27,093,502.44
  5. Step 5: Solve for x
    x = 27,093,502.44/6,354.32
  6. Step 6: Final answer
    x = 4,263.79

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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.