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Finding the Fourth Proportional to 28,857.46, 43,287.47 and 9,137.47

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Solution

The fourth proportional to 28,857.46, 43,287.47 and 9,137.47 is: 13,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857.46 : 43,287.47 = 9,137.47 : x
  2. Step 2: Convert to fraction form
    28,857.46/43,287.47 = 9,137.47/x
  3. Step 3: Cross multiply
    28,857.46x = 43,287.47 × 9,137.47
  4. Step 4: Simplify right side
    28,857.46x = 395,537,958.50
  5. Step 5: Solve for x
    x = 395,537,958.50/28,857.46
  6. Step 6: Final answer
    x = 13,706.61

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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.