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Finding the Fourth Proportional to 9,109.60, 13,647.39 and 5,202.16

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Solution

The fourth proportional to 9,109.60, 13,647.39 and 5,202.16 is: 7,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.60 : 13,647.39 = 5,202.16 : x
  2. Step 2: Convert to fraction form
    9,109.60/13,647.39 = 5,202.16/x
  3. Step 3: Cross multiply
    9,109.60x = 13,647.39 × 5,202.16
  4. Step 4: Simplify right side
    9,109.60x = 70,995,906.36
  5. Step 5: Solve for x
    x = 70,995,906.36/9,109.60
  6. Step 6: Final answer
    x = 7,793.53

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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.