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Finding the Fourth Proportional to 27,897.32, 41,837.34 and 9,425

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Solution

The fourth proportional to 27,897.32, 41,837.34 and 9,425 is: 14,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.32 : 41,837.34 = 9,425 : x
  2. Step 2: Convert to fraction form
    27,897.32/41,837.34 = 9,425/x
  3. Step 3: Cross multiply
    27,897.32x = 41,837.34 × 9,425
  4. Step 4: Simplify right side
    27,897.32x = 394,316,929.50
  5. Step 5: Solve for x
    x = 394,316,929.50/27,897.32
  6. Step 6: Final answer
    x = 14,134.58

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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.