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Finding the Fourth Proportional to 30,796.33, 46,201.44 and 9,737.64

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Solution

The fourth proportional to 30,796.33, 46,201.44 and 9,737.64 is: 14,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,796.33 : 46,201.44 = 9,737.64 : x
  2. Step 2: Convert to fraction form
    30,796.33/46,201.44 = 9,737.64/x
  3. Step 3: Cross multiply
    30,796.33x = 46,201.44 × 9,737.64
  4. Step 4: Simplify right side
    30,796.33x = 449,893,101.89
  5. Step 5: Solve for x
    x = 449,893,101.89/30,796.33
  6. Step 6: Final answer
    x = 14,608.66

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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.