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Finding the Fourth Proportional to 8,262.72, 12,384 and 6,323.04

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Solution

The fourth proportional to 8,262.72, 12,384 and 6,323.04 is: 9,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.72 : 12,384 = 6,323.04 : x
  2. Step 2: Convert to fraction form
    8,262.72/12,384 = 6,323.04/x
  3. Step 3: Cross multiply
    8,262.72x = 12,384 × 6,323.04
  4. Step 4: Simplify right side
    8,262.72x = 78,304,527.36
  5. Step 5: Solve for x
    x = 78,304,527.36/8,262.72
  6. Step 6: Final answer
    x = 9,476.85

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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.