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Finding the Fourth Proportional to 7,003.52, 9,665.03 and 3,859.71

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Solution

The fourth proportional to 7,003.52, 9,665.03 and 3,859.71 is: 5,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.52 : 9,665.03 = 3,859.71 : x
  2. Step 2: Convert to fraction form
    7,003.52/9,665.03 = 3,859.71/x
  3. Step 3: Cross multiply
    7,003.52x = 9,665.03 × 3,859.71
  4. Step 4: Simplify right side
    7,003.52x = 37,304,212.94
  5. Step 5: Solve for x
    x = 37,304,212.94/7,003.52
  6. Step 6: Final answer
    x = 5,326.49

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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.