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Finding the Fourth Proportional to 9,755.10, 14,633.46 and 3,514.86

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Solution

The fourth proportional to 9,755.10, 14,633.46 and 3,514.86 is: 5,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.10 : 14,633.46 = 3,514.86 : x
  2. Step 2: Convert to fraction form
    9,755.10/14,633.46 = 3,514.86/x
  3. Step 3: Cross multiply
    9,755.10x = 14,633.46 × 3,514.86
  4. Step 4: Simplify right side
    9,755.10x = 51,434,563.22
  5. Step 5: Solve for x
    x = 51,434,563.22/9,755.10
  6. Step 6: Final answer
    x = 5,272.58

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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.