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Finding the Fourth Proportional to 6,007.66, 9,003.30 and 3,812.46

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Solution

The fourth proportional to 6,007.66, 9,003.30 and 3,812.46 is: 5,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.66 : 9,003.30 = 3,812.46 : x
  2. Step 2: Convert to fraction form
    6,007.66/9,003.30 = 3,812.46/x
  3. Step 3: Cross multiply
    6,007.66x = 9,003.30 × 3,812.46
  4. Step 4: Simplify right side
    6,007.66x = 34,324,721.12
  5. Step 5: Solve for x
    x = 34,324,721.12/6,007.66
  6. Step 6: Final answer
    x = 5,713.49

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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.