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Finding the Fourth Proportional to 27,042.14, 40,564.34 and 9,285

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Solution

The fourth proportional to 27,042.14, 40,564.34 and 9,285 is: 13,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042.14 : 40,564.34 = 9,285 : x
  2. Step 2: Convert to fraction form
    27,042.14/40,564.34 = 9,285/x
  3. Step 3: Cross multiply
    27,042.14x = 40,564.34 × 9,285
  4. Step 4: Simplify right side
    27,042.14x = 376,639,896.90
  5. Step 5: Solve for x
    x = 376,639,896.90/27,042.14
  6. Step 6: Final answer
    x = 13,927.89

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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.