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Finding the Fourth Proportional to 9,042.64, 13,563.92 and 3,199.68

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Solution

The fourth proportional to 9,042.64, 13,563.92 and 3,199.68 is: 4,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.64 : 13,563.92 = 3,199.68 : x
  2. Step 2: Convert to fraction form
    9,042.64/13,563.92 = 3,199.68/x
  3. Step 3: Cross multiply
    9,042.64x = 13,563.92 × 3,199.68
  4. Step 4: Simplify right side
    9,042.64x = 43,400,203.55
  5. Step 5: Solve for x
    x = 43,400,203.55/9,042.64
  6. Step 6: Final answer
    x = 4,799.51

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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.