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Finding the Fourth Proportional to 9,104.72, 13,660.37 and 3,182.48

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Solution

The fourth proportional to 9,104.72, 13,660.37 and 3,182.48 is: 4,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.72 : 13,660.37 = 3,182.48 : x
  2. Step 2: Convert to fraction form
    9,104.72/13,660.37 = 3,182.48/x
  3. Step 3: Cross multiply
    9,104.72x = 13,660.37 × 3,182.48
  4. Step 4: Simplify right side
    9,104.72x = 43,473,770.10
  5. Step 5: Solve for x
    x = 43,473,770.10/9,104.72
  6. Step 6: Final answer
    x = 4,774.86

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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.