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Finding the Fourth Proportional to 6,852.49, 9,456.47 and 3,868.36

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Solution

The fourth proportional to 6,852.49, 9,456.47 and 3,868.36 is: 5,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.49 : 9,456.47 = 3,868.36 : x
  2. Step 2: Convert to fraction form
    6,852.49/9,456.47 = 3,868.36/x
  3. Step 3: Cross multiply
    6,852.49x = 9,456.47 × 3,868.36
  4. Step 4: Simplify right side
    6,852.49x = 36,581,030.29
  5. Step 5: Solve for x
    x = 36,581,030.29/6,852.49
  6. Step 6: Final answer
    x = 5,338.36

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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.