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Finding the Fourth Proportional to 6,215.32, 9,323.44 and 1,832.97

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Solution

The fourth proportional to 6,215.32, 9,323.44 and 1,832.97 is: 2,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.32 : 9,323.44 = 1,832.97 : x
  2. Step 2: Convert to fraction form
    6,215.32/9,323.44 = 1,832.97/x
  3. Step 3: Cross multiply
    6,215.32x = 9,323.44 × 1,832.97
  4. Step 4: Simplify right side
    6,215.32x = 17,089,585.82
  5. Step 5: Solve for x
    x = 17,089,585.82/6,215.32
  6. Step 6: Final answer
    x = 2,749.59

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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.