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Finding the Fourth Proportional to 9,454.80, 14,163.09 and 4,768.29

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Solution

The fourth proportional to 9,454.80, 14,163.09 and 4,768.29 is: 7,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.80 : 14,163.09 = 4,768.29 : x
  2. Step 2: Convert to fraction form
    9,454.80/14,163.09 = 4,768.29/x
  3. Step 3: Cross multiply
    9,454.80x = 14,163.09 × 4,768.29
  4. Step 4: Simplify right side
    9,454.80x = 67,533,702.54
  5. Step 5: Solve for x
    x = 67,533,702.54/9,454.80
  6. Step 6: Final answer
    x = 7,142.80

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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.