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Finding the Fourth Proportional to 9,674.88, 14,514.36 and 3,105.68

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Solution

The fourth proportional to 9,674.88, 14,514.36 and 3,105.68 is: 4,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.88 : 14,514.36 = 3,105.68 : x
  2. Step 2: Convert to fraction form
    9,674.88/14,514.36 = 3,105.68/x
  3. Step 3: Cross multiply
    9,674.88x = 14,514.36 × 3,105.68
  4. Step 4: Simplify right side
    9,674.88x = 45,076,884.99
  5. Step 5: Solve for x
    x = 45,076,884.99/9,674.88
  6. Step 6: Final answer
    x = 4,659.17

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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.