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Finding the Fourth Proportional to 9,180.72, 13,772.34 and 2,940.93

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Solution

The fourth proportional to 9,180.72, 13,772.34 and 2,940.93 is: 4,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.72 : 13,772.34 = 2,940.93 : x
  2. Step 2: Convert to fraction form
    9,180.72/13,772.34 = 2,940.93/x
  3. Step 3: Cross multiply
    9,180.72x = 13,772.34 × 2,940.93
  4. Step 4: Simplify right side
    9,180.72x = 40,503,487.88
  5. Step 5: Solve for x
    x = 40,503,487.88/9,180.72
  6. Step 6: Final answer
    x = 4,411.80

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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.