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Finding the Fourth Proportional to 9,772.72, 14,659.12 and 3,199.52

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Solution

The fourth proportional to 9,772.72, 14,659.12 and 3,199.52 is: 4,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.72 : 14,659.12 = 3,199.52 : x
  2. Step 2: Convert to fraction form
    9,772.72/14,659.12 = 3,199.52/x
  3. Step 3: Cross multiply
    9,772.72x = 14,659.12 × 3,199.52
  4. Step 4: Simplify right side
    9,772.72x = 46,902,147.62
  5. Step 5: Solve for x
    x = 46,902,147.62/9,772.72
  6. Step 6: Final answer
    x = 4,799.29

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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.