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Finding the Fourth Proportional to 9,578.94, 14,370.24 and 3,735.20

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Solution

The fourth proportional to 9,578.94, 14,370.24 and 3,735.20 is: 5,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.94 : 14,370.24 = 3,735.20 : x
  2. Step 2: Convert to fraction form
    9,578.94/14,370.24 = 3,735.20/x
  3. Step 3: Cross multiply
    9,578.94x = 14,370.24 × 3,735.20
  4. Step 4: Simplify right side
    9,578.94x = 53,675,648.60
  5. Step 5: Solve for x
    x = 53,675,648.60/9,578.94
  6. Step 6: Final answer
    x = 5,603.51

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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.