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Finding the Fourth Proportional to 6,852.53, 9,456.45 and 3,868.35

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Solution

The fourth proportional to 6,852.53, 9,456.45 and 3,868.35 is: 5,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.53 : 9,456.45 = 3,868.35 : x
  2. Step 2: Convert to fraction form
    6,852.53/9,456.45 = 3,868.35/x
  3. Step 3: Cross multiply
    6,852.53x = 9,456.45 × 3,868.35
  4. Step 4: Simplify right side
    6,852.53x = 36,580,858.36
  5. Step 5: Solve for x
    x = 36,580,858.36/6,852.53
  6. Step 6: Final answer
    x = 5,338.30

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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.