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Finding the Fourth Proportional to 6,884.96, 9,498.15 and 4,231.40

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Solution

The fourth proportional to 6,884.96, 9,498.15 and 4,231.40 is: 5,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.96 : 9,498.15 = 4,231.40 : x
  2. Step 2: Convert to fraction form
    6,884.96/9,498.15 = 4,231.40/x
  3. Step 3: Cross multiply
    6,884.96x = 9,498.15 × 4,231.40
  4. Step 4: Simplify right side
    6,884.96x = 40,190,495.66
  5. Step 5: Solve for x
    x = 40,190,495.66/6,884.96
  6. Step 6: Final answer
    x = 5,837.43

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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.