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Finding the Fourth Proportional to 8,644.46, 12,964.46 and 3,097.17

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Solution

The fourth proportional to 8,644.46, 12,964.46 and 3,097.17 is: 4,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.46 : 12,964.46 = 3,097.17 : x
  2. Step 2: Convert to fraction form
    8,644.46/12,964.46 = 3,097.17/x
  3. Step 3: Cross multiply
    8,644.46x = 12,964.46 × 3,097.17
  4. Step 4: Simplify right side
    8,644.46x = 40,153,121.09
  5. Step 5: Solve for x
    x = 40,153,121.09/8,644.46
  6. Step 6: Final answer
    x = 4,644.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.