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Finding the Fourth Proportional to 6,899.12, 9,520.44 and 3,914.88

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Solution

The fourth proportional to 6,899.12, 9,520.44 and 3,914.88 is: 5,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.12 : 9,520.44 = 3,914.88 : x
  2. Step 2: Convert to fraction form
    6,899.12/9,520.44 = 3,914.88/x
  3. Step 3: Cross multiply
    6,899.12x = 9,520.44 × 3,914.88
  4. Step 4: Simplify right side
    6,899.12x = 37,271,380.15
  5. Step 5: Solve for x
    x = 37,271,380.15/6,899.12
  6. Step 6: Final answer
    x = 5,402.34

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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.