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Finding the Fourth Proportional to 6,998.27, 9,657.24 and 4,013.96

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Solution

The fourth proportional to 6,998.27, 9,657.24 and 4,013.96 is: 5,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.27 : 9,657.24 = 4,013.96 : x
  2. Step 2: Convert to fraction form
    6,998.27/9,657.24 = 4,013.96/x
  3. Step 3: Cross multiply
    6,998.27x = 9,657.24 × 4,013.96
  4. Step 4: Simplify right side
    6,998.27x = 38,763,775.07
  5. Step 5: Solve for x
    x = 38,763,775.07/6,998.27
  6. Step 6: Final answer
    x = 5,539.05

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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.