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Finding the Fourth Proportional to 6,158.45, 9,229.16 and 5,334.68

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Solution

The fourth proportional to 6,158.45, 9,229.16 and 5,334.68 is: 7,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.45 : 9,229.16 = 5,334.68 : x
  2. Step 2: Convert to fraction form
    6,158.45/9,229.16 = 5,334.68/x
  3. Step 3: Cross multiply
    6,158.45x = 9,229.16 × 5,334.68
  4. Step 4: Simplify right side
    6,158.45x = 49,234,651.68
  5. Step 5: Solve for x
    x = 49,234,651.68/6,158.45
  6. Step 6: Final answer
    x = 7,994.65

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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.