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Finding the Fourth Proportional to 6,852.30, 9,456.13 and 3,708.42

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Solution

The fourth proportional to 6,852.30, 9,456.13 and 3,708.42 is: 5,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.30 : 9,456.13 = 3,708.42 : x
  2. Step 2: Convert to fraction form
    6,852.30/9,456.13 = 3,708.42/x
  3. Step 3: Cross multiply
    6,852.30x = 9,456.13 × 3,708.42
  4. Step 4: Simplify right side
    6,852.30x = 35,067,301.61
  5. Step 5: Solve for x
    x = 35,067,301.61/6,852.30
  6. Step 6: Final answer
    x = 5,117.60

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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.