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Finding the Fourth Proportional to 6,709.74, 9,258.98 and 3,725.42

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Solution

The fourth proportional to 6,709.74, 9,258.98 and 3,725.42 is: 5,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.74 : 9,258.98 = 3,725.42 : x
  2. Step 2: Convert to fraction form
    6,709.74/9,258.98 = 3,725.42/x
  3. Step 3: Cross multiply
    6,709.74x = 9,258.98 × 3,725.42
  4. Step 4: Simplify right side
    6,709.74x = 34,493,589.27
  5. Step 5: Solve for x
    x = 34,493,589.27/6,709.74
  6. Step 6: Final answer
    x = 5,140.82

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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.