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Finding the Fourth Proportional to 8,967.30, 13,446.90 and 4,034.40

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Solution

The fourth proportional to 8,967.30, 13,446.90 and 4,034.40 is: 6,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.30 : 13,446.90 = 4,034.40 : x
  2. Step 2: Convert to fraction form
    8,967.30/13,446.90 = 4,034.40/x
  3. Step 3: Cross multiply
    8,967.30x = 13,446.90 × 4,034.40
  4. Step 4: Simplify right side
    8,967.30x = 54,250,173.36
  5. Step 5: Solve for x
    x = 54,250,173.36/8,967.30
  6. Step 6: Final answer
    x = 6,049.78

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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.