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Finding the Fourth Proportional to 6,200.96, 9,293.53 and 2,906.79

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Solution

The fourth proportional to 6,200.96, 9,293.53 and 2,906.79 is: 4,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.96 : 9,293.53 = 2,906.79 : x
  2. Step 2: Convert to fraction form
    6,200.96/9,293.53 = 2,906.79/x
  3. Step 3: Cross multiply
    6,200.96x = 9,293.53 × 2,906.79
  4. Step 4: Simplify right side
    6,200.96x = 27,014,340.07
  5. Step 5: Solve for x
    x = 27,014,340.07/6,200.96
  6. Step 6: Final answer
    x = 4,356.48

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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.