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Finding the Fourth Proportional to 9,029.70, 13,543.32 and 3,185.54

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Solution

The fourth proportional to 9,029.70, 13,543.32 and 3,185.54 is: 4,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.70 : 13,543.32 = 3,185.54 : x
  2. Step 2: Convert to fraction form
    9,029.70/13,543.32 = 3,185.54/x
  3. Step 3: Cross multiply
    9,029.70x = 13,543.32 × 3,185.54
  4. Step 4: Simplify right side
    9,029.70x = 43,142,787.59
  5. Step 5: Solve for x
    x = 43,142,787.59/9,029.70
  6. Step 6: Final answer
    x = 4,777.88

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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.