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Finding the Fourth Proportional to 6,012.30, 9,019.17 and 2,116.14

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Solution

The fourth proportional to 6,012.30, 9,019.17 and 2,116.14 is: 3,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.30 : 9,019.17 = 2,116.14 : x
  2. Step 2: Convert to fraction form
    6,012.30/9,019.17 = 2,116.14/x
  3. Step 3: Cross multiply
    6,012.30x = 9,019.17 × 2,116.14
  4. Step 4: Simplify right side
    6,012.30x = 19,085,826.40
  5. Step 5: Solve for x
    x = 19,085,826.40/6,012.30
  6. Step 6: Final answer
    x = 3,174.46

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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.