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Finding the Fourth Proportional to 27,927.22, 41,897.02 and 9,206.50

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Solution

The fourth proportional to 27,927.22, 41,897.02 and 9,206.50 is: 13,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927.22 : 41,897.02 = 9,206.50 : x
  2. Step 2: Convert to fraction form
    27,927.22/41,897.02 = 9,206.50/x
  3. Step 3: Cross multiply
    27,927.22x = 41,897.02 × 9,206.50
  4. Step 4: Simplify right side
    27,927.22x = 385,724,914.63
  5. Step 5: Solve for x
    x = 385,724,914.63/27,927.22
  6. Step 6: Final answer
    x = 13,811.79

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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.