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Finding the Fourth Proportional to 6,189.96, 8,542.34 and 3,395.72

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Solution

The fourth proportional to 6,189.96, 8,542.34 and 3,395.72 is: 4,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.96 : 8,542.34 = 3,395.72 : x
  2. Step 2: Convert to fraction form
    6,189.96/8,542.34 = 3,395.72/x
  3. Step 3: Cross multiply
    6,189.96x = 8,542.34 × 3,395.72
  4. Step 4: Simplify right side
    6,189.96x = 29,007,394.78
  5. Step 5: Solve for x
    x = 29,007,394.78/6,189.96
  6. Step 6: Final answer
    x = 4,686.20

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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.