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Finding the Fourth Proportional to 6,160.57, 9,226.50 and 4,769.43

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Solution

The fourth proportional to 6,160.57, 9,226.50 and 4,769.43 is: 7,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.57 : 9,226.50 = 4,769.43 : x
  2. Step 2: Convert to fraction form
    6,160.57/9,226.50 = 4,769.43/x
  3. Step 3: Cross multiply
    6,160.57x = 9,226.50 × 4,769.43
  4. Step 4: Simplify right side
    6,160.57x = 44,005,158.72
  5. Step 5: Solve for x
    x = 44,005,158.72/6,160.57
  6. Step 6: Final answer
    x = 7,143.03

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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.