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Finding the Fourth Proportional to 6,456.78, 8,912.51 and 4,191.21

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Solution

The fourth proportional to 6,456.78, 8,912.51 and 4,191.21 is: 5,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.78 : 8,912.51 = 4,191.21 : x
  2. Step 2: Convert to fraction form
    6,456.78/8,912.51 = 4,191.21/x
  3. Step 3: Cross multiply
    6,456.78x = 8,912.51 × 4,191.21
  4. Step 4: Simplify right side
    6,456.78x = 37,354,180.08
  5. Step 5: Solve for x
    x = 37,354,180.08/6,456.78
  6. Step 6: Final answer
    x = 5,785.26

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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.