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Finding the Fourth Proportional to 6,456.04, 9,692.54 and 3,828.36

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Solution

The fourth proportional to 6,456.04, 9,692.54 and 3,828.36 is: 5,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.04 : 9,692.54 = 3,828.36 : x
  2. Step 2: Convert to fraction form
    6,456.04/9,692.54 = 3,828.36/x
  3. Step 3: Cross multiply
    6,456.04x = 9,692.54 × 3,828.36
  4. Step 4: Simplify right side
    6,456.04x = 37,106,532.43
  5. Step 5: Solve for x
    x = 37,106,532.43/6,456.04
  6. Step 6: Final answer
    x = 5,747.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.