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Finding the Fourth Proportional to 6,209.25, 9,313.89 and 1,826.61

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Solution

The fourth proportional to 6,209.25, 9,313.89 and 1,826.61 is: 2,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.25 : 9,313.89 = 1,826.61 : x
  2. Step 2: Convert to fraction form
    6,209.25/9,313.89 = 1,826.61/x
  3. Step 3: Cross multiply
    6,209.25x = 9,313.89 × 1,826.61
  4. Step 4: Simplify right side
    6,209.25x = 17,012,844.61
  5. Step 5: Solve for x
    x = 17,012,844.61/6,209.25
  6. Step 6: Final answer
    x = 2,739.92

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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.