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Finding the Fourth Proportional to 9,674.55, 14,514.03 and 3,100.71

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Solution

The fourth proportional to 9,674.55, 14,514.03 and 3,100.71 is: 4,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.55 : 14,514.03 = 3,100.71 : x
  2. Step 2: Convert to fraction form
    9,674.55/14,514.03 = 3,100.71/x
  3. Step 3: Cross multiply
    9,674.55x = 14,514.03 × 3,100.71
  4. Step 4: Simplify right side
    9,674.55x = 45,003,797.96
  5. Step 5: Solve for x
    x = 45,003,797.96/9,674.55
  6. Step 6: Final answer
    x = 4,651.77

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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.