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Finding the Fourth Proportional to 6,718.69, 9,272.10 and 3,734.43

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Solution

The fourth proportional to 6,718.69, 9,272.10 and 3,734.43 is: 5,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.69 : 9,272.10 = 3,734.43 : x
  2. Step 2: Convert to fraction form
    6,718.69/9,272.10 = 3,734.43/x
  3. Step 3: Cross multiply
    6,718.69x = 9,272.10 × 3,734.43
  4. Step 4: Simplify right side
    6,718.69x = 34,626,008.40
  5. Step 5: Solve for x
    x = 34,626,008.40/6,718.69
  6. Step 6: Final answer
    x = 5,153.68

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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.