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Finding the Fourth Proportional to 9,060, 13,581.50 and 3,213.42

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Solution

The fourth proportional to 9,060, 13,581.50 and 3,213.42 is: 4,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,060 : 13,581.50 = 3,213.42 : x
  2. Step 2: Convert to fraction form
    9,060/13,581.50 = 3,213.42/x
  3. Step 3: Cross multiply
    9,060x = 13,581.50 × 3,213.42
  4. Step 4: Simplify right side
    9,060x = 43,643,047.66
  5. Step 5: Solve for x
    x = 43,643,047.66/9,060
  6. Step 6: Final answer
    x = 4,817.11

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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.