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Finding the Fourth Proportional to 6,201.86, 9,301.97 and 2,305.74

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Solution

The fourth proportional to 6,201.86, 9,301.97 and 2,305.74 is: 3,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.86 : 9,301.97 = 2,305.74 : x
  2. Step 2: Convert to fraction form
    6,201.86/9,301.97 = 2,305.74/x
  3. Step 3: Cross multiply
    6,201.86x = 9,301.97 × 2,305.74
  4. Step 4: Simplify right side
    6,201.86x = 21,447,924.31
  5. Step 5: Solve for x
    x = 21,447,924.31/6,201.86
  6. Step 6: Final answer
    x = 3,458.31

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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.