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Finding the Fourth Proportional to 7,234.17, 9,985.01 and 4,092.09

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Solution

The fourth proportional to 7,234.17, 9,985.01 and 4,092.09 is: 5,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.17 : 9,985.01 = 4,092.09 : x
  2. Step 2: Convert to fraction form
    7,234.17/9,985.01 = 4,092.09/x
  3. Step 3: Cross multiply
    7,234.17x = 9,985.01 × 4,092.09
  4. Step 4: Simplify right side
    7,234.17x = 40,859,539.11
  5. Step 5: Solve for x
    x = 40,859,539.11/7,234.17
  6. Step 6: Final answer
    x = 5,648.13

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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.