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Finding the Fourth Proportional to 6,709.74, 9,258.45 and 3,725.60

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Solution

The fourth proportional to 6,709.74, 9,258.45 and 3,725.60 is: 5,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.74 : 9,258.45 = 3,725.60 : x
  2. Step 2: Convert to fraction form
    6,709.74/9,258.45 = 3,725.60/x
  3. Step 3: Cross multiply
    6,709.74x = 9,258.45 × 3,725.60
  4. Step 4: Simplify right side
    6,709.74x = 34,493,221.06
  5. Step 5: Solve for x
    x = 34,493,221.06/6,709.74
  6. Step 6: Final answer
    x = 5,140.77

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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.