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Finding the Fourth Proportional to 6,818.36, 9,409.56 and 3,834.56

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Solution

The fourth proportional to 6,818.36, 9,409.56 and 3,834.56 is: 5,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.36 : 9,409.56 = 3,834.56 : x
  2. Step 2: Convert to fraction form
    6,818.36/9,409.56 = 3,834.56/x
  3. Step 3: Cross multiply
    6,818.36x = 9,409.56 × 3,834.56
  4. Step 4: Simplify right side
    6,818.36x = 36,081,522.39
  5. Step 5: Solve for x
    x = 36,081,522.39/6,818.36
  6. Step 6: Final answer
    x = 5,291.82

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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.