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Finding the Fourth Proportional to 9,260.96, 13,892.58 and 3,021.60

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Solution

The fourth proportional to 9,260.96, 13,892.58 and 3,021.60 is: 4,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.96 : 13,892.58 = 3,021.60 : x
  2. Step 2: Convert to fraction form
    9,260.96/13,892.58 = 3,021.60/x
  3. Step 3: Cross multiply
    9,260.96x = 13,892.58 × 3,021.60
  4. Step 4: Simplify right side
    9,260.96x = 41,977,819.73
  5. Step 5: Solve for x
    x = 41,977,819.73/9,260.96
  6. Step 6: Final answer
    x = 4,532.77

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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.