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Finding the Fourth Proportional to 6,708.71, 9,257.94 and 3,724.43

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Solution

The fourth proportional to 6,708.71, 9,257.94 and 3,724.43 is: 5,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.71 : 9,257.94 = 3,724.43 : x
  2. Step 2: Convert to fraction form
    6,708.71/9,257.94 = 3,724.43/x
  3. Step 3: Cross multiply
    6,708.71x = 9,257.94 × 3,724.43
  4. Step 4: Simplify right side
    6,708.71x = 34,480,549.47
  5. Step 5: Solve for x
    x = 34,480,549.47/6,708.71
  6. Step 6: Final answer
    x = 5,139.67

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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.