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Finding the Fourth Proportional to 27,837.25, 41,762.36 and 9,369.25

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Solution

The fourth proportional to 27,837.25, 41,762.36 and 9,369.25 is: 14,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837.25 : 41,762.36 = 9,369.25 : x
  2. Step 2: Convert to fraction form
    27,837.25/41,762.36 = 9,369.25/x
  3. Step 3: Cross multiply
    27,837.25x = 41,762.36 × 9,369.25
  4. Step 4: Simplify right side
    27,837.25x = 391,281,991.43
  5. Step 5: Solve for x
    x = 391,281,991.43/27,837.25
  6. Step 6: Final answer
    x = 14,056.06

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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.