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Finding the Fourth Proportional to 9,163.71, 13,744.35 and 2,590.41

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Solution

The fourth proportional to 9,163.71, 13,744.35 and 2,590.41 is: 3,885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.71 : 13,744.35 = 2,590.41 : x
  2. Step 2: Convert to fraction form
    9,163.71/13,744.35 = 2,590.41/x
  3. Step 3: Cross multiply
    9,163.71x = 13,744.35 × 2,590.41
  4. Step 4: Simplify right side
    9,163.71x = 35,603,501.68
  5. Step 5: Solve for x
    x = 35,603,501.68/9,163.71
  6. Step 6: Final answer
    x = 3,885.27

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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.