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Finding the Fourth Proportional to 9,122.76, 13,680.78 and 3,277.80

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Solution

The fourth proportional to 9,122.76, 13,680.78 and 3,277.80 is: 4,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.76 : 13,680.78 = 3,277.80 : x
  2. Step 2: Convert to fraction form
    9,122.76/13,680.78 = 3,277.80/x
  3. Step 3: Cross multiply
    9,122.76x = 13,680.78 × 3,277.80
  4. Step 4: Simplify right side
    9,122.76x = 44,842,860.68
  5. Step 5: Solve for x
    x = 44,842,860.68/9,122.76
  6. Step 6: Final answer
    x = 4,915.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.