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Finding the Fourth Proportional to 6,128.56, 9,193.20 and 2,024.56

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Solution

The fourth proportional to 6,128.56, 9,193.20 and 2,024.56 is: 3,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.56 : 9,193.20 = 2,024.56 : x
  2. Step 2: Convert to fraction form
    6,128.56/9,193.20 = 2,024.56/x
  3. Step 3: Cross multiply
    6,128.56x = 9,193.20 × 2,024.56
  4. Step 4: Simplify right side
    6,128.56x = 18,612,184.99
  5. Step 5: Solve for x
    x = 18,612,184.99/6,128.56
  6. Step 6: Final answer
    x = 3,036.96

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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.