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Finding the Fourth Proportional to 7,003.88, 9,665.29 and 3,860

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Solution

The fourth proportional to 7,003.88, 9,665.29 and 3,860 is: 5,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.88 : 9,665.29 = 3,860 : x
  2. Step 2: Convert to fraction form
    7,003.88/9,665.29 = 3,860/x
  3. Step 3: Cross multiply
    7,003.88x = 9,665.29 × 3,860
  4. Step 4: Simplify right side
    7,003.88x = 37,308,019.40
  5. Step 5: Solve for x
    x = 37,308,019.40/7,003.88
  6. Step 6: Final answer
    x = 5,326.76

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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.