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Finding the Fourth Proportional to 9,052.56, 13,579.92 and 3,209.76

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Solution

The fourth proportional to 9,052.56, 13,579.92 and 3,209.76 is: 4,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.56 : 13,579.92 = 3,209.76 : x
  2. Step 2: Convert to fraction form
    9,052.56/13,579.92 = 3,209.76/x
  3. Step 3: Cross multiply
    9,052.56x = 13,579.92 × 3,209.76
  4. Step 4: Simplify right side
    9,052.56x = 43,588,284.02
  5. Step 5: Solve for x
    x = 43,588,284.02/9,052.56
  6. Step 6: Final answer
    x = 4,815.02

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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.