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Finding the Fourth Proportional to 9,141.75, 13,717.74 and 4,982.04

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Solution

The fourth proportional to 9,141.75, 13,717.74 and 4,982.04 is: 7,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.75 : 13,717.74 = 4,982.04 : x
  2. Step 2: Convert to fraction form
    9,141.75/13,717.74 = 4,982.04/x
  3. Step 3: Cross multiply
    9,141.75x = 13,717.74 × 4,982.04
  4. Step 4: Simplify right side
    9,141.75x = 68,342,329.39
  5. Step 5: Solve for x
    x = 68,342,329.39/9,141.75
  6. Step 6: Final answer
    x = 7,475.85

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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.