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Finding the Fourth Proportional to 6,852.54, 9,456.51 and 3,708.73

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Solution

The fourth proportional to 6,852.54, 9,456.51 and 3,708.73 is: 5,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.54 : 9,456.51 = 3,708.73 : x
  2. Step 2: Convert to fraction form
    6,852.54/9,456.51 = 3,708.73/x
  3. Step 3: Cross multiply
    6,852.54x = 9,456.51 × 3,708.73
  4. Step 4: Simplify right side
    6,852.54x = 35,071,642.33
  5. Step 5: Solve for x
    x = 35,071,642.33/6,852.54
  6. Step 6: Final answer
    x = 5,118.05

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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.