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Finding the Fourth Proportional to 7,003.69, 9,665.19 and 3,859.88

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Solution

The fourth proportional to 7,003.69, 9,665.19 and 3,859.88 is: 5,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.69 : 9,665.19 = 3,859.88 : x
  2. Step 2: Convert to fraction form
    7,003.69/9,665.19 = 3,859.88/x
  3. Step 3: Cross multiply
    7,003.69x = 9,665.19 × 3,859.88
  4. Step 4: Simplify right side
    7,003.69x = 37,306,425.25
  5. Step 5: Solve for x
    x = 37,306,425.25/7,003.69
  6. Step 6: Final answer
    x = 5,326.68

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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.