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Finding the Fourth Proportional to 6,130.20, 9,187.20 and 5,433.60

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Solution

The fourth proportional to 6,130.20, 9,187.20 and 5,433.60 is: 8,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.20 : 9,187.20 = 5,433.60 : x
  2. Step 2: Convert to fraction form
    6,130.20/9,187.20 = 5,433.60/x
  3. Step 3: Cross multiply
    6,130.20x = 9,187.20 × 5,433.60
  4. Step 4: Simplify right side
    6,130.20x = 49,919,569.92
  5. Step 5: Solve for x
    x = 49,919,569.92/6,130.20
  6. Step 6: Final answer
    x = 8,143.22

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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.