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Finding the Fourth Proportional to 9,380.21, 12,940.68 and 5,400.48

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Solution

The fourth proportional to 9,380.21, 12,940.68 and 5,400.48 is: 7,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.21 : 12,940.68 = 5,400.48 : x
  2. Step 2: Convert to fraction form
    9,380.21/12,940.68 = 5,400.48/x
  3. Step 3: Cross multiply
    9,380.21x = 12,940.68 × 5,400.48
  4. Step 4: Simplify right side
    9,380.21x = 69,885,849.14
  5. Step 5: Solve for x
    x = 69,885,849.14/9,380.21
  6. Step 6: Final answer
    x = 7,450.35

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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.