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Finding the Fourth Proportional to 6,563.32, 9,851.46 and 4,224.04

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Solution

The fourth proportional to 6,563.32, 9,851.46 and 4,224.04 is: 6,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.32 : 9,851.46 = 4,224.04 : x
  2. Step 2: Convert to fraction form
    6,563.32/9,851.46 = 4,224.04/x
  3. Step 3: Cross multiply
    6,563.32x = 9,851.46 × 4,224.04
  4. Step 4: Simplify right side
    6,563.32x = 41,612,961.10
  5. Step 5: Solve for x
    x = 41,612,961.10/6,563.32
  6. Step 6: Final answer
    x = 6,340.23

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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.