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Finding the Fourth Proportional to 6,016.34, 9,024.11 and 2,120.24

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Solution

The fourth proportional to 6,016.34, 9,024.11 and 2,120.24 is: 3,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.34 : 9,024.11 = 2,120.24 : x
  2. Step 2: Convert to fraction form
    6,016.34/9,024.11 = 2,120.24/x
  3. Step 3: Cross multiply
    6,016.34x = 9,024.11 × 2,120.24
  4. Step 4: Simplify right side
    6,016.34x = 19,133,298.90
  5. Step 5: Solve for x
    x = 19,133,298.90/6,016.34
  6. Step 6: Final answer
    x = 3,180.22

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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.