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Finding the Fourth Proportional to 7,109.96, 9,811.77 and 4,084.27

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Solution

The fourth proportional to 7,109.96, 9,811.77 and 4,084.27 is: 5,636.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.96 : 9,811.77 = 4,084.27 : x
  2. Step 2: Convert to fraction form
    7,109.96/9,811.77 = 4,084.27/x
  3. Step 3: Cross multiply
    7,109.96x = 9,811.77 × 4,084.27
  4. Step 4: Simplify right side
    7,109.96x = 40,073,893.33
  5. Step 5: Solve for x
    x = 40,073,893.33/7,109.96
  6. Step 6: Final answer
    x = 5,636.31

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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.