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Finding the Fourth Proportional to 9,193.38, 12,679.38 and 5,655.30

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Solution

The fourth proportional to 9,193.38, 12,679.38 and 5,655.30 is: 7,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.38 : 12,679.38 = 5,655.30 : x
  2. Step 2: Convert to fraction form
    9,193.38/12,679.38 = 5,655.30/x
  3. Step 3: Cross multiply
    9,193.38x = 12,679.38 × 5,655.30
  4. Step 4: Simplify right side
    9,193.38x = 71,705,697.71
  5. Step 5: Solve for x
    x = 71,705,697.71/9,193.38
  6. Step 6: Final answer
    x = 7,799.71

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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.