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Finding the Fourth Proportional to 9,231.60, 13,836.60 and 4,846.80

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Solution

The fourth proportional to 9,231.60, 13,836.60 and 4,846.80 is: 7,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.60 : 13,836.60 = 4,846.80 : x
  2. Step 2: Convert to fraction form
    9,231.60/13,836.60 = 4,846.80/x
  3. Step 3: Cross multiply
    9,231.60x = 13,836.60 × 4,846.80
  4. Step 4: Simplify right side
    9,231.60x = 67,063,232.88
  5. Step 5: Solve for x
    x = 67,063,232.88/9,231.60
  6. Step 6: Final answer
    x = 7,264.53

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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.