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Finding the Fourth Proportional to 6,076.28, 9,114.43 and 1,693.86

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Solution

The fourth proportional to 6,076.28, 9,114.43 and 1,693.86 is: 2,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.28 : 9,114.43 = 1,693.86 : x
  2. Step 2: Convert to fraction form
    6,076.28/9,114.43 = 1,693.86/x
  3. Step 3: Cross multiply
    6,076.28x = 9,114.43 × 1,693.86
  4. Step 4: Simplify right side
    6,076.28x = 15,438,568.40
  5. Step 5: Solve for x
    x = 15,438,568.40/6,076.28
  6. Step 6: Final answer
    x = 2,540.79

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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.