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Finding the Fourth Proportional to 9,489.42, 14,204.97 and 8,089.74

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Solution

The fourth proportional to 9,489.42, 14,204.97 and 8,089.74 is: 12,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.42 : 14,204.97 = 8,089.74 : x
  2. Step 2: Convert to fraction form
    9,489.42/14,204.97 = 8,089.74/x
  3. Step 3: Cross multiply
    9,489.42x = 14,204.97 × 8,089.74
  4. Step 4: Simplify right side
    9,489.42x = 114,914,514.01
  5. Step 5: Solve for x
    x = 114,914,514.01/9,489.42
  6. Step 6: Final answer
    x = 12,109.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.