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Finding the Fourth Proportional to 9,350.68, 14,022.04 and 4,153

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Solution

The fourth proportional to 9,350.68, 14,022.04 and 4,153 is: 6,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.68 : 14,022.04 = 4,153 : x
  2. Step 2: Convert to fraction form
    9,350.68/14,022.04 = 4,153/x
  3. Step 3: Cross multiply
    9,350.68x = 14,022.04 × 4,153
  4. Step 4: Simplify right side
    9,350.68x = 58,233,532.12
  5. Step 5: Solve for x
    x = 58,233,532.12/9,350.68
  6. Step 6: Final answer
    x = 6,227.73

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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.