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Finding the Fourth Proportional to 6,366.98, 9,548.10 and 2,205.92

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Solution

The fourth proportional to 6,366.98, 9,548.10 and 2,205.92 is: 3,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.98 : 9,548.10 = 2,205.92 : x
  2. Step 2: Convert to fraction form
    6,366.98/9,548.10 = 2,205.92/x
  3. Step 3: Cross multiply
    6,366.98x = 9,548.10 × 2,205.92
  4. Step 4: Simplify right side
    6,366.98x = 21,062,344.75
  5. Step 5: Solve for x
    x = 21,062,344.75/6,366.98
  6. Step 6: Final answer
    x = 3,308.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.