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Finding the Fourth Proportional to 6,852.20, 9,456.65 and 3,868.76

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Solution

The fourth proportional to 6,852.20, 9,456.65 and 3,868.76 is: 5,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.20 : 9,456.65 = 3,868.76 : x
  2. Step 2: Convert to fraction form
    6,852.20/9,456.65 = 3,868.76/x
  3. Step 3: Cross multiply
    6,852.20x = 9,456.65 × 3,868.76
  4. Step 4: Simplify right side
    6,852.20x = 36,585,528.06
  5. Step 5: Solve for x
    x = 36,585,528.06/6,852.20
  6. Step 6: Final answer
    x = 5,339.24

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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.