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Finding the Fourth Proportional to 6,845.73, 9,438.55 and 5,713.04

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Solution

The fourth proportional to 6,845.73, 9,438.55 and 5,713.04 is: 7,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.73 : 9,438.55 = 5,713.04 : x
  2. Step 2: Convert to fraction form
    6,845.73/9,438.55 = 5,713.04/x
  3. Step 3: Cross multiply
    6,845.73x = 9,438.55 × 5,713.04
  4. Step 4: Simplify right side
    6,845.73x = 53,922,813.69
  5. Step 5: Solve for x
    x = 53,922,813.69/6,845.73
  6. Step 6: Final answer
    x = 7,876.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.