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Finding the Fourth Proportional to 7,099.30, 9,789.69 and 6,938.38

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Solution

The fourth proportional to 7,099.30, 9,789.69 and 6,938.38 is: 9,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.30 : 9,789.69 = 6,938.38 : x
  2. Step 2: Convert to fraction form
    7,099.30/9,789.69 = 6,938.38/x
  3. Step 3: Cross multiply
    7,099.30x = 9,789.69 × 6,938.38
  4. Step 4: Simplify right side
    7,099.30x = 67,924,589.30
  5. Step 5: Solve for x
    x = 67,924,589.30/7,099.30
  6. Step 6: Final answer
    x = 9,567.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.