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Finding the Fourth Proportional to 6,163.34, 8,506.01 and 3,646.27

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Solution

The fourth proportional to 6,163.34, 8,506.01 and 3,646.27 is: 5,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.34 : 8,506.01 = 3,646.27 : x
  2. Step 2: Convert to fraction form
    6,163.34/8,506.01 = 3,646.27/x
  3. Step 3: Cross multiply
    6,163.34x = 8,506.01 × 3,646.27
  4. Step 4: Simplify right side
    6,163.34x = 31,015,187.82
  5. Step 5: Solve for x
    x = 31,015,187.82/6,163.34
  6. Step 6: Final answer
    x = 5,032.20

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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.