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Finding the Fourth Proportional to 6,092.48, 9,142.48 and 2,394.06

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Solution

The fourth proportional to 6,092.48, 9,142.48 and 2,394.06 is: 3,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.48 : 9,142.48 = 2,394.06 : x
  2. Step 2: Convert to fraction form
    6,092.48/9,142.48 = 2,394.06/x
  3. Step 3: Cross multiply
    6,092.48x = 9,142.48 × 2,394.06
  4. Step 4: Simplify right side
    6,092.48x = 21,887,645.67
  5. Step 5: Solve for x
    x = 21,887,645.67/6,092.48
  6. Step 6: Final answer
    x = 3,592.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.