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Finding the Fourth Proportional to 6,902.06, 9,525.18 and 3,917.84

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Solution

The fourth proportional to 6,902.06, 9,525.18 and 3,917.84 is: 5,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.06 : 9,525.18 = 3,917.84 : x
  2. Step 2: Convert to fraction form
    6,902.06/9,525.18 = 3,917.84/x
  3. Step 3: Cross multiply
    6,902.06x = 9,525.18 × 3,917.84
  4. Step 4: Simplify right side
    6,902.06x = 37,318,131.21
  5. Step 5: Solve for x
    x = 37,318,131.21/6,902.06
  6. Step 6: Final answer
    x = 5,406.81

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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.