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Finding the Fourth Proportional to 9,212.70, 13,819.06 and 2,973.16

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Solution

The fourth proportional to 9,212.70, 13,819.06 and 2,973.16 is: 4,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.70 : 13,819.06 = 2,973.16 : x
  2. Step 2: Convert to fraction form
    9,212.70/13,819.06 = 2,973.16/x
  3. Step 3: Cross multiply
    9,212.70x = 13,819.06 × 2,973.16
  4. Step 4: Simplify right side
    9,212.70x = 41,086,207.33
  5. Step 5: Solve for x
    x = 41,086,207.33/9,212.70
  6. Step 6: Final answer
    x = 4,459.74

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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.