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Finding the Fourth Proportional to 6,708.68, 9,258.54 and 3,876.56

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Solution

The fourth proportional to 6,708.68, 9,258.54 and 3,876.56 is: 5,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.68 : 9,258.54 = 3,876.56 : x
  2. Step 2: Convert to fraction form
    6,708.68/9,258.54 = 3,876.56/x
  3. Step 3: Cross multiply
    6,708.68x = 9,258.54 × 3,876.56
  4. Step 4: Simplify right side
    6,708.68x = 35,891,285.82
  5. Step 5: Solve for x
    x = 35,891,285.82/6,708.68
  6. Step 6: Final answer
    x = 5,349.98

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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.