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Finding the Fourth Proportional to 6,937, 9,573.02 and 3,793.20

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Solution

The fourth proportional to 6,937, 9,573.02 and 3,793.20 is: 5,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937 : 9,573.02 = 3,793.20 : x
  2. Step 2: Convert to fraction form
    6,937/9,573.02 = 3,793.20/x
  3. Step 3: Cross multiply
    6,937x = 9,573.02 × 3,793.20
  4. Step 4: Simplify right side
    6,937x = 36,312,379.46
  5. Step 5: Solve for x
    x = 36,312,379.46/6,937
  6. Step 6: Final answer
    x = 5,234.59

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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.