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Finding the Fourth Proportional to 6,977.73, 9,629.45 and 3,833.93

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Solution

The fourth proportional to 6,977.73, 9,629.45 and 3,833.93 is: 5,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.73 : 9,629.45 = 3,833.93 : x
  2. Step 2: Convert to fraction form
    6,977.73/9,629.45 = 3,833.93/x
  3. Step 3: Cross multiply
    6,977.73x = 9,629.45 × 3,833.93
  4. Step 4: Simplify right side
    6,977.73x = 36,918,637.24
  5. Step 5: Solve for x
    x = 36,918,637.24/6,977.73
  6. Step 6: Final answer
    x = 5,290.92

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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.