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Finding the Fourth Proportional to 9,251, 13,874.46 and 4,318.04

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Solution

The fourth proportional to 9,251, 13,874.46 and 4,318.04 is: 6,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251 : 13,874.46 = 4,318.04 : x
  2. Step 2: Convert to fraction form
    9,251/13,874.46 = 4,318.04/x
  3. Step 3: Cross multiply
    9,251x = 13,874.46 × 4,318.04
  4. Step 4: Simplify right side
    9,251x = 59,910,473.26
  5. Step 5: Solve for x
    x = 59,910,473.26/9,251
  6. Step 6: Final answer
    x = 6,476.11

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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.