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Finding the Fourth Proportional to 6,205.50, 9,309.47 and 2,742.75

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Solution

The fourth proportional to 6,205.50, 9,309.47 and 2,742.75 is: 4,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.50 : 9,309.47 = 2,742.75 : x
  2. Step 2: Convert to fraction form
    6,205.50/9,309.47 = 2,742.75/x
  3. Step 3: Cross multiply
    6,205.50x = 9,309.47 × 2,742.75
  4. Step 4: Simplify right side
    6,205.50x = 25,533,535.13
  5. Step 5: Solve for x
    x = 25,533,535.13/6,205.50
  6. Step 6: Final answer
    x = 4,114.66

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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.