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Finding the Fourth Proportional to 9,110.98, 13,668.39 and 2,954.50

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Solution

The fourth proportional to 9,110.98, 13,668.39 and 2,954.50 is: 4,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.98 : 13,668.39 = 2,954.50 : x
  2. Step 2: Convert to fraction form
    9,110.98/13,668.39 = 2,954.50/x
  3. Step 3: Cross multiply
    9,110.98x = 13,668.39 × 2,954.50
  4. Step 4: Simplify right side
    9,110.98x = 40,383,258.26
  5. Step 5: Solve for x
    x = 40,383,258.26/9,110.98
  6. Step 6: Final answer
    x = 4,432.37

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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.