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Finding the Fourth Proportional to 6,096.85, 9,145.28 and 1,714.31

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Solution

The fourth proportional to 6,096.85, 9,145.28 and 1,714.31 is: 2,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.85 : 9,145.28 = 1,714.31 : x
  2. Step 2: Convert to fraction form
    6,096.85/9,145.28 = 1,714.31/x
  3. Step 3: Cross multiply
    6,096.85x = 9,145.28 × 1,714.31
  4. Step 4: Simplify right side
    6,096.85x = 15,677,819.12
  5. Step 5: Solve for x
    x = 15,677,819.12/6,096.85
  6. Step 6: Final answer
    x = 2,571.46

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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.