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Finding the Fourth Proportional to 7,014.41, 9,679.77 and 3,827.87

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Solution

The fourth proportional to 7,014.41, 9,679.77 and 3,827.87 is: 5,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.41 : 9,679.77 = 3,827.87 : x
  2. Step 2: Convert to fraction form
    7,014.41/9,679.77 = 3,827.87/x
  3. Step 3: Cross multiply
    7,014.41x = 9,679.77 × 3,827.87
  4. Step 4: Simplify right side
    7,014.41x = 37,052,943.54
  5. Step 5: Solve for x
    x = 37,052,943.54/7,014.41
  6. Step 6: Final answer
    x = 5,282.40

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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.