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Finding the Fourth Proportional to 9,578.39, 14,365.50 and 3,003.71

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Solution

The fourth proportional to 9,578.39, 14,365.50 and 3,003.71 is: 4,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.39 : 14,365.50 = 3,003.71 : x
  2. Step 2: Convert to fraction form
    9,578.39/14,365.50 = 3,003.71/x
  3. Step 3: Cross multiply
    9,578.39x = 14,365.50 × 3,003.71
  4. Step 4: Simplify right side
    9,578.39x = 43,149,796.01
  5. Step 5: Solve for x
    x = 43,149,796.01/9,578.39
  6. Step 6: Final answer
    x = 4,504.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.