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Finding the Fourth Proportional to 6,959.12, 9,602.96 and 3,974.94

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Solution

The fourth proportional to 6,959.12, 9,602.96 and 3,974.94 is: 5,485.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.12 : 9,602.96 = 3,974.94 : x
  2. Step 2: Convert to fraction form
    6,959.12/9,602.96 = 3,974.94/x
  3. Step 3: Cross multiply
    6,959.12x = 9,602.96 × 3,974.94
  4. Step 4: Simplify right side
    6,959.12x = 38,171,169.95
  5. Step 5: Solve for x
    x = 38,171,169.95/6,959.12
  6. Step 6: Final answer
    x = 5,485.06

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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.