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Finding the Fourth Proportional to 6,408.94, 8,841.87 and 4,014.75

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Solution

The fourth proportional to 6,408.94, 8,841.87 and 4,014.75 is: 5,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.94 : 8,841.87 = 4,014.75 : x
  2. Step 2: Convert to fraction form
    6,408.94/8,841.87 = 4,014.75/x
  3. Step 3: Cross multiply
    6,408.94x = 8,841.87 × 4,014.75
  4. Step 4: Simplify right side
    6,408.94x = 35,497,875.72
  5. Step 5: Solve for x
    x = 35,497,875.72/6,408.94
  6. Step 6: Final answer
    x = 5,538.81

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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.