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Finding the Fourth Proportional to 6,123.22, 9,201.39 and 3,203.68

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Solution

The fourth proportional to 6,123.22, 9,201.39 and 3,203.68 is: 4,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.22 : 9,201.39 = 3,203.68 : x
  2. Step 2: Convert to fraction form
    6,123.22/9,201.39 = 3,203.68/x
  3. Step 3: Cross multiply
    6,123.22x = 9,201.39 × 3,203.68
  4. Step 4: Simplify right side
    6,123.22x = 29,478,309.12
  5. Step 5: Solve for x
    x = 29,478,309.12/6,123.22
  6. Step 6: Final answer
    x = 4,814.18

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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.