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Finding the Fourth Proportional to 9,650.54, 13,316.62 and 5,401.83

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Solution

The fourth proportional to 9,650.54, 13,316.62 and 5,401.83 is: 7,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.54 : 13,316.62 = 5,401.83 : x
  2. Step 2: Convert to fraction form
    9,650.54/13,316.62 = 5,401.83/x
  3. Step 3: Cross multiply
    9,650.54x = 13,316.62 × 5,401.83
  4. Step 4: Simplify right side
    9,650.54x = 71,934,137.20
  5. Step 5: Solve for x
    x = 71,934,137.20/9,650.54
  6. Step 6: Final answer
    x = 7,453.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.