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Finding the Fourth Proportional to 6,708.67, 9,258 and 4,192.24

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Solution

The fourth proportional to 6,708.67, 9,258 and 4,192.24 is: 5,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,708.67 : 9,258 = 4,192.24 : x
  2. Step 2: Convert to fraction form
    6,708.67/9,258 = 4,192.24/x
  3. Step 3: Cross multiply
    6,708.67x = 9,258 × 4,192.24
  4. Step 4: Simplify right side
    6,708.67x = 38,811,757.92
  5. Step 5: Solve for x
    x = 38,811,757.92/6,708.67
  6. Step 6: Final answer
    x = 5,785.31

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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.