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Finding the Fourth Proportional to 9,192.67, 13,786.25 and 3,347.91

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Solution

The fourth proportional to 9,192.67, 13,786.25 and 3,347.91 is: 5,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.67 : 13,786.25 = 3,347.91 : x
  2. Step 2: Convert to fraction form
    9,192.67/13,786.25 = 3,347.91/x
  3. Step 3: Cross multiply
    9,192.67x = 13,786.25 × 3,347.91
  4. Step 4: Simplify right side
    9,192.67x = 46,155,132.61
  5. Step 5: Solve for x
    x = 46,155,132.61/9,192.67
  6. Step 6: Final answer
    x = 5,020.86

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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.