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Finding the Fourth Proportional to 6,709.20, 9,258.78 and 3,725.22

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Solution

The fourth proportional to 6,709.20, 9,258.78 and 3,725.22 is: 5,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.20 : 9,258.78 = 3,725.22 : x
  2. Step 2: Convert to fraction form
    6,709.20/9,258.78 = 3,725.22/x
  3. Step 3: Cross multiply
    6,709.20x = 9,258.78 × 3,725.22
  4. Step 4: Simplify right side
    6,709.20x = 34,490,992.43
  5. Step 5: Solve for x
    x = 34,490,992.43/6,709.20
  6. Step 6: Final answer
    x = 5,140.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.