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Finding the Fourth Proportional to 27,797.15, 41,698.01 and 9,076.77

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Solution

The fourth proportional to 27,797.15, 41,698.01 and 9,076.77 is: 13,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.15 : 41,698.01 = 9,076.77 : x
  2. Step 2: Convert to fraction form
    27,797.15/41,698.01 = 9,076.77/x
  3. Step 3: Cross multiply
    27,797.15x = 41,698.01 × 9,076.77
  4. Step 4: Simplify right side
    27,797.15x = 378,483,200.84
  5. Step 5: Solve for x
    x = 378,483,200.84/27,797.15
  6. Step 6: Final answer
    x = 13,615.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.