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Finding the Fourth Proportional to 9,046.41, 13,571.64 and 3,203.49

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Solution

The fourth proportional to 9,046.41, 13,571.64 and 3,203.49 is: 4,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.41 : 13,571.64 = 3,203.49 : x
  2. Step 2: Convert to fraction form
    9,046.41/13,571.64 = 3,203.49/x
  3. Step 3: Cross multiply
    9,046.41x = 13,571.64 × 3,203.49
  4. Step 4: Simplify right side
    9,046.41x = 43,476,613.02
  5. Step 5: Solve for x
    x = 43,476,613.02/9,046.41
  6. Step 6: Final answer
    x = 4,805.95

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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.