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Finding the Fourth Proportional to 28,272.98, 42,379.94 and 9,546.53

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Solution

The fourth proportional to 28,272.98, 42,379.94 and 9,546.53 is: 14,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,272.98 : 42,379.94 = 9,546.53 : x
  2. Step 2: Convert to fraction form
    28,272.98/42,379.94 = 9,546.53/x
  3. Step 3: Cross multiply
    28,272.98x = 42,379.94 × 9,546.53
  4. Step 4: Simplify right side
    28,272.98x = 404,581,180.57
  5. Step 5: Solve for x
    x = 404,581,180.57/28,272.98
  6. Step 6: Final answer
    x = 14,309.82

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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.