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Finding the Fourth Proportional to 6,096.57, 9,146.40 and 1,714.05

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Solution

The fourth proportional to 6,096.57, 9,146.40 and 1,714.05 is: 2,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.57 : 9,146.40 = 1,714.05 : x
  2. Step 2: Convert to fraction form
    6,096.57/9,146.40 = 1,714.05/x
  3. Step 3: Cross multiply
    6,096.57x = 9,146.40 × 1,714.05
  4. Step 4: Simplify right side
    6,096.57x = 15,677,386.92
  5. Step 5: Solve for x
    x = 15,677,386.92/6,096.57
  6. Step 6: Final answer
    x = 2,571.51

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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.