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Finding the Fourth Proportional to 6,206.06, 9,309.02 and 2,508.23

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Solution

The fourth proportional to 6,206.06, 9,309.02 and 2,508.23 is: 3,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.06 : 9,309.02 = 2,508.23 : x
  2. Step 2: Convert to fraction form
    6,206.06/9,309.02 = 2,508.23/x
  3. Step 3: Cross multiply
    6,206.06x = 9,309.02 × 2,508.23
  4. Step 4: Simplify right side
    6,206.06x = 23,349,173.97
  5. Step 5: Solve for x
    x = 23,349,173.97/6,206.06
  6. Step 6: Final answer
    x = 3,762.32

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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.