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Finding the Fourth Proportional to 6,445.44, 8,896.32 and 4,203.54

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Solution

The fourth proportional to 6,445.44, 8,896.32 and 4,203.54 is: 5,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.44 : 8,896.32 = 4,203.54 : x
  2. Step 2: Convert to fraction form
    6,445.44/8,896.32 = 4,203.54/x
  3. Step 3: Cross multiply
    6,445.44x = 8,896.32 × 4,203.54
  4. Step 4: Simplify right side
    6,445.44x = 37,396,036.97
  5. Step 5: Solve for x
    x = 37,396,036.97/6,445.44
  6. Step 6: Final answer
    x = 5,801.94

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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.