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Finding the Fourth Proportional to 9,100.14, 13,638.68 and 4,421.22

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Solution

The fourth proportional to 9,100.14, 13,638.68 and 4,421.22 is: 6,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.14 : 13,638.68 = 4,421.22 : x
  2. Step 2: Convert to fraction form
    9,100.14/13,638.68 = 4,421.22/x
  3. Step 3: Cross multiply
    9,100.14x = 13,638.68 × 4,421.22
  4. Step 4: Simplify right side
    9,100.14x = 60,299,604.79
  5. Step 5: Solve for x
    x = 60,299,604.79/9,100.14
  6. Step 6: Final answer
    x = 6,626.23

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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.