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Finding the Fourth Proportional to 6,397.34, 9,596.46 and 1,717.34

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Solution

The fourth proportional to 6,397.34, 9,596.46 and 1,717.34 is: 2,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.34 : 9,596.46 = 1,717.34 : x
  2. Step 2: Convert to fraction form
    6,397.34/9,596.46 = 1,717.34/x
  3. Step 3: Cross multiply
    6,397.34x = 9,596.46 × 1,717.34
  4. Step 4: Simplify right side
    6,397.34x = 16,480,384.62
  5. Step 5: Solve for x
    x = 16,480,384.62/6,397.34
  6. Step 6: Final answer
    x = 2,576.13

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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.