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Finding the Fourth Proportional to 6,076.76, 9,115.16 and 1,694.22

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Solution

The fourth proportional to 6,076.76, 9,115.16 and 1,694.22 is: 2,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.76 : 9,115.16 = 1,694.22 : x
  2. Step 2: Convert to fraction form
    6,076.76/9,115.16 = 1,694.22/x
  3. Step 3: Cross multiply
    6,076.76x = 9,115.16 × 1,694.22
  4. Step 4: Simplify right side
    6,076.76x = 15,443,086.38
  5. Step 5: Solve for x
    x = 15,443,086.38/6,076.76
  6. Step 6: Final answer
    x = 2,541.34

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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.