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Finding the Fourth Proportional to 7,003.74, 9,664.70 and 3,859.92

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Solution

The fourth proportional to 7,003.74, 9,664.70 and 3,859.92 is: 5,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.74 : 9,664.70 = 3,859.92 : x
  2. Step 2: Convert to fraction form
    7,003.74/9,664.70 = 3,859.92/x
  3. Step 3: Cross multiply
    7,003.74x = 9,664.70 × 3,859.92
  4. Step 4: Simplify right side
    7,003.74x = 37,304,968.82
  5. Step 5: Solve for x
    x = 37,304,968.82/7,003.74
  6. Step 6: Final answer
    x = 5,326.44

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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.