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Finding the Fourth Proportional to 6,200.93, 9,298.96 and 2,735.75

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Solution

The fourth proportional to 6,200.93, 9,298.96 and 2,735.75 is: 4,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.93 : 9,298.96 = 2,735.75 : x
  2. Step 2: Convert to fraction form
    6,200.93/9,298.96 = 2,735.75/x
  3. Step 3: Cross multiply
    6,200.93x = 9,298.96 × 2,735.75
  4. Step 4: Simplify right side
    6,200.93x = 25,439,629.82
  5. Step 5: Solve for x
    x = 25,439,629.82/6,200.93
  6. Step 6: Final answer
    x = 4,102.55

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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.