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Finding the Fourth Proportional to 6,414.48, 9,615.32 and 3,076.56

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Solution

The fourth proportional to 6,414.48, 9,615.32 and 3,076.56 is: 4,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.48 : 9,615.32 = 3,076.56 : x
  2. Step 2: Convert to fraction form
    6,414.48/9,615.32 = 3,076.56/x
  3. Step 3: Cross multiply
    6,414.48x = 9,615.32 × 3,076.56
  4. Step 4: Simplify right side
    6,414.48x = 29,582,108.90
  5. Step 5: Solve for x
    x = 29,582,108.90/6,414.48
  6. Step 6: Final answer
    x = 4,611.77

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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.