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Finding the Fourth Proportional to 9,077.44, 12,534.24 and 5,725.84

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Solution

The fourth proportional to 9,077.44, 12,534.24 and 5,725.84 is: 7,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.44 : 12,534.24 = 5,725.84 : x
  2. Step 2: Convert to fraction form
    9,077.44/12,534.24 = 5,725.84/x
  3. Step 3: Cross multiply
    9,077.44x = 12,534.24 × 5,725.84
  4. Step 4: Simplify right side
    9,077.44x = 71,769,052.76
  5. Step 5: Solve for x
    x = 71,769,052.76/9,077.44
  6. Step 6: Final answer
    x = 7,906.31

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