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Finding the Fourth Proportional to 9,292.13, 13,940.01 and 4,098

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Solution

The fourth proportional to 9,292.13, 13,940.01 and 4,098 is: 6,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.13 : 13,940.01 = 4,098 : x
  2. Step 2: Convert to fraction form
    9,292.13/13,940.01 = 4,098/x
  3. Step 3: Cross multiply
    9,292.13x = 13,940.01 × 4,098
  4. Step 4: Simplify right side
    9,292.13x = 57,126,160.98
  5. Step 5: Solve for x
    x = 57,126,160.98/9,292.13
  6. Step 6: Final answer
    x = 6,147.80

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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.