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Finding the Fourth Proportional to 27,984.62, 41,947.36 and 9,259.85

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Solution

The fourth proportional to 27,984.62, 41,947.36 and 9,259.85 is: 13,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,984.62 : 41,947.36 = 9,259.85 : x
  2. Step 2: Convert to fraction form
    27,984.62/41,947.36 = 9,259.85/x
  3. Step 3: Cross multiply
    27,984.62x = 41,947.36 × 9,259.85
  4. Step 4: Simplify right side
    27,984.62x = 388,426,261.50
  5. Step 5: Solve for x
    x = 388,426,261.50/27,984.62
  6. Step 6: Final answer
    x = 13,879.99

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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.