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Finding the Fourth Proportional to 6,206.40, 9,309.60 and 5,987.70

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Solution

The fourth proportional to 6,206.40, 9,309.60 and 5,987.70 is: 8,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.40 : 9,309.60 = 5,987.70 : x
  2. Step 2: Convert to fraction form
    6,206.40/9,309.60 = 5,987.70/x
  3. Step 3: Cross multiply
    6,206.40x = 9,309.60 × 5,987.70
  4. Step 4: Simplify right side
    6,206.40x = 55,743,091.92
  5. Step 5: Solve for x
    x = 55,743,091.92/6,206.40
  6. Step 6: Final answer
    x = 8,981.55

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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.