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Finding the Fourth Proportional to 9,212.62, 13,821.68 and 2,973.61

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Solution

The fourth proportional to 9,212.62, 13,821.68 and 2,973.61 is: 4,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.62 : 13,821.68 = 2,973.61 : x
  2. Step 2: Convert to fraction form
    9,212.62/13,821.68 = 2,973.61/x
  3. Step 3: Cross multiply
    9,212.62x = 13,821.68 × 2,973.61
  4. Step 4: Simplify right side
    9,212.62x = 41,100,285.86
  5. Step 5: Solve for x
    x = 41,100,285.86/9,212.62
  6. Step 6: Final answer
    x = 4,461.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.