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Finding the Fourth Proportional to 6,709.48, 9,258.81 and 3,725.14

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Solution

The fourth proportional to 6,709.48, 9,258.81 and 3,725.14 is: 5,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.48 : 9,258.81 = 3,725.14 : x
  2. Step 2: Convert to fraction form
    6,709.48/9,258.81 = 3,725.14/x
  3. Step 3: Cross multiply
    6,709.48x = 9,258.81 × 3,725.14
  4. Step 4: Simplify right side
    6,709.48x = 34,490,343.73
  5. Step 5: Solve for x
    x = 34,490,343.73/6,709.48
  6. Step 6: Final answer
    x = 5,140.54

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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.