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Finding the Fourth Proportional to 6,092.37, 9,138.54 and 2,392.01

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Solution

The fourth proportional to 6,092.37, 9,138.54 and 2,392.01 is: 3,588.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.37 : 9,138.54 = 2,392.01 : x
  2. Step 2: Convert to fraction form
    6,092.37/9,138.54 = 2,392.01/x
  3. Step 3: Cross multiply
    6,092.37x = 9,138.54 × 2,392.01
  4. Step 4: Simplify right side
    6,092.37x = 21,859,479.07
  5. Step 5: Solve for x
    x = 21,859,479.07/6,092.37
  6. Step 6: Final answer
    x = 3,588.01

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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.