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Finding the Fourth Proportional to 6,707.71, 9,256.56 and 3,723.43

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Solution

The fourth proportional to 6,707.71, 9,256.56 and 3,723.43 is: 5,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.71 : 9,256.56 = 3,723.43 : x
  2. Step 2: Convert to fraction form
    6,707.71/9,256.56 = 3,723.43/x
  3. Step 3: Cross multiply
    6,707.71x = 9,256.56 × 3,723.43
  4. Step 4: Simplify right side
    6,707.71x = 34,466,153.20
  5. Step 5: Solve for x
    x = 34,466,153.20/6,707.71
  6. Step 6: Final answer
    x = 5,138.29

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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.