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Finding the Fourth Proportional to 9,420.38, 13,000.12 and 5,229.44

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Solution

The fourth proportional to 9,420.38, 13,000.12 and 5,229.44 is: 7,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.38 : 13,000.12 = 5,229.44 : x
  2. Step 2: Convert to fraction form
    9,420.38/13,000.12 = 5,229.44/x
  3. Step 3: Cross multiply
    9,420.38x = 13,000.12 × 5,229.44
  4. Step 4: Simplify right side
    9,420.38x = 67,983,269.46
  5. Step 5: Solve for x
    x = 67,983,269.46/9,420.38
  6. Step 6: Final answer
    x = 7,216.62

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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.