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Finding the Fourth Proportional to 6,013.12, 9,020.04 and 3,411.04

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Solution

The fourth proportional to 6,013.12, 9,020.04 and 3,411.04 is: 5,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.12 : 9,020.04 = 3,411.04 : x
  2. Step 2: Convert to fraction form
    6,013.12/9,020.04 = 3,411.04/x
  3. Step 3: Cross multiply
    6,013.12x = 9,020.04 × 3,411.04
  4. Step 4: Simplify right side
    6,013.12x = 30,767,717.24
  5. Step 5: Solve for x
    x = 30,767,717.24/6,013.12
  6. Step 6: Final answer
    x = 5,116.76

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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.