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Finding the Fourth Proportional to 6,836.73, 9,430.40 and 4,179.53

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Solution

The fourth proportional to 6,836.73, 9,430.40 and 4,179.53 is: 5,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.73 : 9,430.40 = 4,179.53 : x
  2. Step 2: Convert to fraction form
    6,836.73/9,430.40 = 4,179.53/x
  3. Step 3: Cross multiply
    6,836.73x = 9,430.40 × 4,179.53
  4. Step 4: Simplify right side
    6,836.73x = 39,414,603.01
  5. Step 5: Solve for x
    x = 39,414,603.01/6,836.73
  6. Step 6: Final answer
    x = 5,765.12

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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.