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Finding the Fourth Proportional to 9,296, 12,839.42 and 6,306.65

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Solution

The fourth proportional to 9,296, 12,839.42 and 6,306.65 is: 8,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296 : 12,839.42 = 6,306.65 : x
  2. Step 2: Convert to fraction form
    9,296/12,839.42 = 6,306.65/x
  3. Step 3: Cross multiply
    9,296x = 12,839.42 × 6,306.65
  4. Step 4: Simplify right side
    9,296x = 80,973,728.14
  5. Step 5: Solve for x
    x = 80,973,728.14/9,296
  6. Step 6: Final answer
    x = 8,710.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.