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Finding the Fourth Proportional to 9,453.82, 13,046.44 and 5,204.86

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Solution

The fourth proportional to 9,453.82, 13,046.44 and 5,204.86 is: 7,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.82 : 13,046.44 = 5,204.86 : x
  2. Step 2: Convert to fraction form
    9,453.82/13,046.44 = 5,204.86/x
  3. Step 3: Cross multiply
    9,453.82x = 13,046.44 × 5,204.86
  4. Step 4: Simplify right side
    9,453.82x = 67,904,893.70
  5. Step 5: Solve for x
    x = 67,904,893.70/9,453.82
  6. Step 6: Final answer
    x = 7,182.80

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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.