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Finding the Fourth Proportional to 9,380.54, 12,945.20 and 5,401.62

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Solution

The fourth proportional to 9,380.54, 12,945.20 and 5,401.62 is: 7,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.54 : 12,945.20 = 5,401.62 : x
  2. Step 2: Convert to fraction form
    9,380.54/12,945.20 = 5,401.62/x
  3. Step 3: Cross multiply
    9,380.54x = 12,945.20 × 5,401.62
  4. Step 4: Simplify right side
    9,380.54x = 69,925,024.22
  5. Step 5: Solve for x
    x = 69,925,024.22/9,380.54
  6. Step 6: Final answer
    x = 7,454.26

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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.