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Finding the Fourth Proportional to 9,077.37, 13,619.37 and 2,837.84

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Solution

The fourth proportional to 9,077.37, 13,619.37 and 2,837.84 is: 4,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.37 : 13,619.37 = 2,837.84 : x
  2. Step 2: Convert to fraction form
    9,077.37/13,619.37 = 2,837.84/x
  3. Step 3: Cross multiply
    9,077.37x = 13,619.37 × 2,837.84
  4. Step 4: Simplify right side
    9,077.37x = 38,649,535.51
  5. Step 5: Solve for x
    x = 38,649,535.51/9,077.37
  6. Step 6: Final answer
    x = 4,257.79

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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.