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Finding the Fourth Proportional to 6,893.24, 9,512.72 and 4,098.20

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Solution

The fourth proportional to 6,893.24, 9,512.72 and 4,098.20 is: 5,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.24 : 9,512.72 = 4,098.20 : x
  2. Step 2: Convert to fraction form
    6,893.24/9,512.72 = 4,098.20/x
  3. Step 3: Cross multiply
    6,893.24x = 9,512.72 × 4,098.20
  4. Step 4: Simplify right side
    6,893.24x = 38,984,961.05
  5. Step 5: Solve for x
    x = 38,984,961.05/6,893.24
  6. Step 6: Final answer
    x = 5,655.54

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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.