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Finding the Fourth Proportional to 6,013.80, 9,016.38 and 3,089.70

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Solution

The fourth proportional to 6,013.80, 9,016.38 and 3,089.70 is: 4,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.80 : 9,016.38 = 3,089.70 : x
  2. Step 2: Convert to fraction form
    6,013.80/9,016.38 = 3,089.70/x
  3. Step 3: Cross multiply
    6,013.80x = 9,016.38 × 3,089.70
  4. Step 4: Simplify right side
    6,013.80x = 27,857,909.29
  5. Step 5: Solve for x
    x = 27,857,909.29/6,013.80
  6. Step 6: Final answer
    x = 4,632.33

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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.