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Finding the Fourth Proportional to 9,306.75, 12,846.31 and 5,958.59

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Solution

The fourth proportional to 9,306.75, 12,846.31 and 5,958.59 is: 8,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.75 : 12,846.31 = 5,958.59 : x
  2. Step 2: Convert to fraction form
    9,306.75/12,846.31 = 5,958.59/x
  3. Step 3: Cross multiply
    9,306.75x = 12,846.31 × 5,958.59
  4. Step 4: Simplify right side
    9,306.75x = 76,545,848.69
  5. Step 5: Solve for x
    x = 76,545,848.69/9,306.75
  6. Step 6: Final answer
    x = 8,224.76

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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.