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Finding the Fourth Proportional to 6,852.34, 9,456.40 and 3,868.45

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Solution

The fourth proportional to 6,852.34, 9,456.40 and 3,868.45 is: 5,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.34 : 9,456.40 = 3,868.45 : x
  2. Step 2: Convert to fraction form
    6,852.34/9,456.40 = 3,868.45/x
  3. Step 3: Cross multiply
    6,852.34x = 9,456.40 × 3,868.45
  4. Step 4: Simplify right side
    6,852.34x = 36,581,563.30
  5. Step 5: Solve for x
    x = 36,581,563.30/6,852.34
  6. Step 6: Final answer
    x = 5,338.55

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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.