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Finding the Fourth Proportional to 9,579.44, 14,359.44 and 6,806

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Solution

The fourth proportional to 9,579.44, 14,359.44 and 6,806 is: 10,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.44 : 14,359.44 = 6,806 : x
  2. Step 2: Convert to fraction form
    9,579.44/14,359.44 = 6,806/x
  3. Step 3: Cross multiply
    9,579.44x = 14,359.44 × 6,806
  4. Step 4: Simplify right side
    9,579.44x = 97,730,348.64
  5. Step 5: Solve for x
    x = 97,730,348.64/9,579.44
  6. Step 6: Final answer
    x = 10,202.09

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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.