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Finding the Fourth Proportional to 9,376.80, 14,065.18 and 3,829.16

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Solution

The fourth proportional to 9,376.80, 14,065.18 and 3,829.16 is: 5,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.80 : 14,065.18 = 3,829.16 : x
  2. Step 2: Convert to fraction form
    9,376.80/14,065.18 = 3,829.16/x
  3. Step 3: Cross multiply
    9,376.80x = 14,065.18 × 3,829.16
  4. Step 4: Simplify right side
    9,376.80x = 53,857,824.65
  5. Step 5: Solve for x
    x = 53,857,824.65/9,376.80
  6. Step 6: Final answer
    x = 5,743.73

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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.