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Finding the Fourth Proportional to 9,306.85, 12,846.44 and 5,958.68

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Solution

The fourth proportional to 9,306.85, 12,846.44 and 5,958.68 is: 8,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.85 : 12,846.44 = 5,958.68 : x
  2. Step 2: Convert to fraction form
    9,306.85/12,846.44 = 5,958.68/x
  3. Step 3: Cross multiply
    9,306.85x = 12,846.44 × 5,958.68
  4. Step 4: Simplify right side
    9,306.85x = 76,547,823.94
  5. Step 5: Solve for x
    x = 76,547,823.94/9,306.85
  6. Step 6: Final answer
    x = 8,224.89

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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.