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Finding the Fourth Proportional to 6,330.98, 8,736 and 3,813.05

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Solution

The fourth proportional to 6,330.98, 8,736 and 3,813.05 is: 5,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.98 : 8,736 = 3,813.05 : x
  2. Step 2: Convert to fraction form
    6,330.98/8,736 = 3,813.05/x
  3. Step 3: Cross multiply
    6,330.98x = 8,736 × 3,813.05
  4. Step 4: Simplify right side
    6,330.98x = 33,310,804.80
  5. Step 5: Solve for x
    x = 33,310,804.80/6,330.98
  6. Step 6: Final answer
    x = 5,261.56

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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.