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Finding the Fourth Proportional to 7,092.14, 9,788 and 4,068.34

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Solution

The fourth proportional to 7,092.14, 9,788 and 4,068.34 is: 5,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.14 : 9,788 = 4,068.34 : x
  2. Step 2: Convert to fraction form
    7,092.14/9,788 = 4,068.34/x
  3. Step 3: Cross multiply
    7,092.14x = 9,788 × 4,068.34
  4. Step 4: Simplify right side
    7,092.14x = 39,820,911.92
  5. Step 5: Solve for x
    x = 39,820,911.92/7,092.14
  6. Step 6: Final answer
    x = 5,614.79

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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.