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Finding the Fourth Proportional to 9,842.92, 14,766.84 and 2,917.44

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Solution

The fourth proportional to 9,842.92, 14,766.84 and 2,917.44 is: 4,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.92 : 14,766.84 = 2,917.44 : x
  2. Step 2: Convert to fraction form
    9,842.92/14,766.84 = 2,917.44/x
  3. Step 3: Cross multiply
    9,842.92x = 14,766.84 × 2,917.44
  4. Step 4: Simplify right side
    9,842.92x = 43,081,369.69
  5. Step 5: Solve for x
    x = 43,081,369.69/9,842.92
  6. Step 6: Final answer
    x = 4,376.89

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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.