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Finding the Fourth Proportional to 6,959.70, 9,606.42 and 4,306.14

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Solution

The fourth proportional to 6,959.70, 9,606.42 and 4,306.14 is: 5,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.70 : 9,606.42 = 4,306.14 : x
  2. Step 2: Convert to fraction form
    6,959.70/9,606.42 = 4,306.14/x
  3. Step 3: Cross multiply
    6,959.70x = 9,606.42 × 4,306.14
  4. Step 4: Simplify right side
    6,959.70x = 41,366,589.42
  5. Step 5: Solve for x
    x = 41,366,589.42/6,959.70
  6. Step 6: Final answer
    x = 5,943.73

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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.