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Finding the Fourth Proportional to 29,009.75, 43,514.62 and 9,289.89

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Solution

The fourth proportional to 29,009.75, 43,514.62 and 9,289.89 is: 13,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,009.75 : 43,514.62 = 9,289.89 : x
  2. Step 2: Convert to fraction form
    29,009.75/43,514.62 = 9,289.89/x
  3. Step 3: Cross multiply
    29,009.75x = 43,514.62 × 9,289.89
  4. Step 4: Simplify right side
    29,009.75x = 404,246,009.97
  5. Step 5: Solve for x
    x = 404,246,009.97/29,009.75
  6. Step 6: Final answer
    x = 13,934.84

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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.