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Finding the Fourth Proportional to 9,722.72, 14,580.48 and 3,481.76

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Solution

The fourth proportional to 9,722.72, 14,580.48 and 3,481.76 is: 5,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.72 : 14,580.48 = 3,481.76 : x
  2. Step 2: Convert to fraction form
    9,722.72/14,580.48 = 3,481.76/x
  3. Step 3: Cross multiply
    9,722.72x = 14,580.48 × 3,481.76
  4. Step 4: Simplify right side
    9,722.72x = 50,765,732.04
  5. Step 5: Solve for x
    x = 50,765,732.04/9,722.72
  6. Step 6: Final answer
    x = 5,221.35

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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.