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Finding the Fourth Proportional to 9,102.20, 13,648.73 and 4,419.27

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Solution

The fourth proportional to 9,102.20, 13,648.73 and 4,419.27 is: 6,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.20 : 13,648.73 = 4,419.27 : x
  2. Step 2: Convert to fraction form
    9,102.20/13,648.73 = 4,419.27/x
  3. Step 3: Cross multiply
    9,102.20x = 13,648.73 × 4,419.27
  4. Step 4: Simplify right side
    9,102.20x = 60,317,400.93
  5. Step 5: Solve for x
    x = 60,317,400.93/9,102.20
  6. Step 6: Final answer
    x = 6,626.69

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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.