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Finding the Fourth Proportional to 6,096.60, 9,134.10 and 5,232.60

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Solution

The fourth proportional to 6,096.60, 9,134.10 and 5,232.60 is: 7,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.60 : 9,134.10 = 5,232.60 : x
  2. Step 2: Convert to fraction form
    6,096.60/9,134.10 = 5,232.60/x
  3. Step 3: Cross multiply
    6,096.60x = 9,134.10 × 5,232.60
  4. Step 4: Simplify right side
    6,096.60x = 47,795,091.66
  5. Step 5: Solve for x
    x = 47,795,091.66/6,096.60
  6. Step 6: Final answer
    x = 7,839.63

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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.