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Finding the Fourth Proportional to 9,252.22, 13,871.04 and 3,405.64

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Solution

The fourth proportional to 9,252.22, 13,871.04 and 3,405.64 is: 5,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.22 : 13,871.04 = 3,405.64 : x
  2. Step 2: Convert to fraction form
    9,252.22/13,871.04 = 3,405.64/x
  3. Step 3: Cross multiply
    9,252.22x = 13,871.04 × 3,405.64
  4. Step 4: Simplify right side
    9,252.22x = 47,239,768.67
  5. Step 5: Solve for x
    x = 47,239,768.67/9,252.22
  6. Step 6: Final answer
    x = 5,105.78

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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.