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Finding the Fourth Proportional to 9,304.65, 13,940.71 and 7,754.61

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Solution

The fourth proportional to 9,304.65, 13,940.71 and 7,754.61 is: 11,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.65 : 13,940.71 = 7,754.61 : x
  2. Step 2: Convert to fraction form
    9,304.65/13,940.71 = 7,754.61/x
  3. Step 3: Cross multiply
    9,304.65x = 13,940.71 × 7,754.61
  4. Step 4: Simplify right side
    9,304.65x = 108,104,769.17
  5. Step 5: Solve for x
    x = 108,104,769.17/9,304.65
  6. Step 6: Final answer
    x = 11,618.36

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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.