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Finding the Fourth Proportional to 6,540.62, 9,813.42 and 3,032.32

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Solution

The fourth proportional to 6,540.62, 9,813.42 and 3,032.32 is: 4,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.62 : 9,813.42 = 3,032.32 : x
  2. Step 2: Convert to fraction form
    6,540.62/9,813.42 = 3,032.32/x
  3. Step 3: Cross multiply
    6,540.62x = 9,813.42 × 3,032.32
  4. Step 4: Simplify right side
    6,540.62x = 29,757,429.73
  5. Step 5: Solve for x
    x = 29,757,429.73/6,540.62
  6. Step 6: Final answer
    x = 4,549.63

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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.