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Finding the Fourth Proportional to 6,834.98, 9,436.64 and 5,579.03

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Solution

The fourth proportional to 6,834.98, 9,436.64 and 5,579.03 is: 7,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.98 : 9,436.64 = 5,579.03 : x
  2. Step 2: Convert to fraction form
    6,834.98/9,436.64 = 5,579.03/x
  3. Step 3: Cross multiply
    6,834.98x = 9,436.64 × 5,579.03
  4. Step 4: Simplify right side
    6,834.98x = 52,647,293.36
  5. Step 5: Solve for x
    x = 52,647,293.36/6,834.98
  6. Step 6: Final answer
    x = 7,702.62

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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.