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Finding the Fourth Proportional to 7,003.98, 9,665.85 and 3,860.16

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Solution

The fourth proportional to 7,003.98, 9,665.85 and 3,860.16 is: 5,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.98 : 9,665.85 = 3,860.16 : x
  2. Step 2: Convert to fraction form
    7,003.98/9,665.85 = 3,860.16/x
  3. Step 3: Cross multiply
    7,003.98x = 9,665.85 × 3,860.16
  4. Step 4: Simplify right side
    7,003.98x = 37,311,727.54
  5. Step 5: Solve for x
    x = 37,311,727.54/7,003.98
  6. Step 6: Final answer
    x = 5,327.22

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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.