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Finding the Fourth Proportional to 9,809.56, 13,539 and 5,833

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Solution

The fourth proportional to 9,809.56, 13,539 and 5,833 is: 8,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.56 : 13,539 = 5,833 : x
  2. Step 2: Convert to fraction form
    9,809.56/13,539 = 5,833/x
  3. Step 3: Cross multiply
    9,809.56x = 13,539 × 5,833
  4. Step 4: Simplify right side
    9,809.56x = 78,972,987
  5. Step 5: Solve for x
    x = 78,972,987/9,809.56
  6. Step 6: Final answer
    x = 8,050.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.