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Finding the Fourth Proportional to 6,408.66, 8,846.34 and 3,756.93

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Solution

The fourth proportional to 6,408.66, 8,846.34 and 3,756.93 is: 5,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.66 : 8,846.34 = 3,756.93 : x
  2. Step 2: Convert to fraction form
    6,408.66/8,846.34 = 3,756.93/x
  3. Step 3: Cross multiply
    6,408.66x = 8,846.34 × 3,756.93
  4. Step 4: Simplify right side
    6,408.66x = 33,235,080.14
  5. Step 5: Solve for x
    x = 33,235,080.14/6,408.66
  6. Step 6: Final answer
    x = 5,185.96

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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.