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Finding the Fourth Proportional to 9,251.97, 13,880 and 4,318.92

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Solution

The fourth proportional to 9,251.97, 13,880 and 4,318.92 is: 6,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.97 : 13,880 = 4,318.92 : x
  2. Step 2: Convert to fraction form
    9,251.97/13,880 = 4,318.92/x
  3. Step 3: Cross multiply
    9,251.97x = 13,880 × 4,318.92
  4. Step 4: Simplify right side
    9,251.97x = 59,946,609.60
  5. Step 5: Solve for x
    x = 59,946,609.60/9,251.97
  6. Step 6: Final answer
    x = 6,479.33

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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.