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Finding the Fourth Proportional to 9,578.43, 14,367.71 and 3,005.13

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Solution

The fourth proportional to 9,578.43, 14,367.71 and 3,005.13 is: 4,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.43 : 14,367.71 = 3,005.13 : x
  2. Step 2: Convert to fraction form
    9,578.43/14,367.71 = 3,005.13/x
  3. Step 3: Cross multiply
    9,578.43x = 14,367.71 × 3,005.13
  4. Step 4: Simplify right side
    9,578.43x = 43,176,821.33
  5. Step 5: Solve for x
    x = 43,176,821.33/9,578.43
  6. Step 6: Final answer
    x = 4,507.71

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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.