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Finding the Fourth Proportional to 6,999.48, 9,659.25 and 3,812.54

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Solution

The fourth proportional to 6,999.48, 9,659.25 and 3,812.54 is: 5,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.48 : 9,659.25 = 3,812.54 : x
  2. Step 2: Convert to fraction form
    6,999.48/9,659.25 = 3,812.54/x
  3. Step 3: Cross multiply
    6,999.48x = 9,659.25 × 3,812.54
  4. Step 4: Simplify right side
    6,999.48x = 36,826,228.70
  5. Step 5: Solve for x
    x = 36,826,228.70/6,999.48
  6. Step 6: Final answer
    x = 5,261.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.