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Finding the Fourth Proportional to 7,234.42, 9,985.29 and 4,092.46

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Solution

The fourth proportional to 7,234.42, 9,985.29 and 4,092.46 is: 5,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.42 : 9,985.29 = 4,092.46 : x
  2. Step 2: Convert to fraction form
    7,234.42/9,985.29 = 4,092.46/x
  3. Step 3: Cross multiply
    7,234.42x = 9,985.29 × 4,092.46
  4. Step 4: Simplify right side
    7,234.42x = 40,864,399.91
  5. Step 5: Solve for x
    x = 40,864,399.91/7,234.42
  6. Step 6: Final answer
    x = 5,648.61

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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.