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Finding the Fourth Proportional to 9,306.89, 13,961.02 and 3,463.50

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Solution

The fourth proportional to 9,306.89, 13,961.02 and 3,463.50 is: 5,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.89 : 13,961.02 = 3,463.50 : x
  2. Step 2: Convert to fraction form
    9,306.89/13,961.02 = 3,463.50/x
  3. Step 3: Cross multiply
    9,306.89x = 13,961.02 × 3,463.50
  4. Step 4: Simplify right side
    9,306.89x = 48,353,984.11
  5. Step 5: Solve for x
    x = 48,353,984.11/9,306.89
  6. Step 6: Final answer
    x = 5,195.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.