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Finding the Fourth Proportional to 6,829.93, 9,425.15 and 3,998.98

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Solution

The fourth proportional to 6,829.93, 9,425.15 and 3,998.98 is: 5,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.93 : 9,425.15 = 3,998.98 : x
  2. Step 2: Convert to fraction form
    6,829.93/9,425.15 = 3,998.98/x
  3. Step 3: Cross multiply
    6,829.93x = 9,425.15 × 3,998.98
  4. Step 4: Simplify right side
    6,829.93x = 37,690,919.23
  5. Step 5: Solve for x
    x = 37,690,919.23/6,829.93
  6. Step 6: Final answer
    x = 5,518.50

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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.