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Finding the Fourth Proportional to 29,185.50, 43,784.64 and 9,466.05

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Solution

The fourth proportional to 29,185.50, 43,784.64 and 9,466.05 is: 14,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,185.50 : 43,784.64 = 9,466.05 : x
  2. Step 2: Convert to fraction form
    29,185.50/43,784.64 = 9,466.05/x
  3. Step 3: Cross multiply
    29,185.50x = 43,784.64 × 9,466.05
  4. Step 4: Simplify right side
    29,185.50x = 414,467,591.47
  5. Step 5: Solve for x
    x = 414,467,591.47/29,185.50
  6. Step 6: Final answer
    x = 14,201.15

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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.