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Finding the Fourth Proportional to 6,125.40, 9,178.20 and 5,542.20

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Solution

The fourth proportional to 6,125.40, 9,178.20 and 5,542.20 is: 8,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.40 : 9,178.20 = 5,542.20 : x
  2. Step 2: Convert to fraction form
    6,125.40/9,178.20 = 5,542.20/x
  3. Step 3: Cross multiply
    6,125.40x = 9,178.20 × 5,542.20
  4. Step 4: Simplify right side
    6,125.40x = 50,867,420.04
  5. Step 5: Solve for x
    x = 50,867,420.04/6,125.40
  6. Step 6: Final answer
    x = 8,304.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.