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Finding the Fourth Proportional to 6,798.14, 9,381.44 and 3,813.98

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Solution

The fourth proportional to 6,798.14, 9,381.44 and 3,813.98 is: 5,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.14 : 9,381.44 = 3,813.98 : x
  2. Step 2: Convert to fraction form
    6,798.14/9,381.44 = 3,813.98/x
  3. Step 3: Cross multiply
    6,798.14x = 9,381.44 × 3,813.98
  4. Step 4: Simplify right side
    6,798.14x = 35,780,558.55
  5. Step 5: Solve for x
    x = 35,780,558.55/6,798.14
  6. Step 6: Final answer
    x = 5,263.29

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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.