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Finding the Fourth Proportional to 29,228.75, 43,847.00 and 9,500.66

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Solution

The fourth proportional to 29,228.75, 43,847.00 and 9,500.66 is: 14,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,228.75 : 43,847.00 = 9,500.66 : x
  2. Step 2: Convert to fraction form
    29,228.75/43,847.00 = 9,500.66/x
  3. Step 3: Cross multiply
    29,228.75x = 43,847.00 × 9,500.66
  4. Step 4: Simplify right side
    29,228.75x = 416,575,172.28
  5. Step 5: Solve for x
    x = 416,575,172.28/29,228.75
  6. Step 6: Final answer
    x = 14,252.24

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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.