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Finding the Fourth Proportional to 9,344.82, 14,017.18 and 3,105.30

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Solution

The fourth proportional to 9,344.82, 14,017.18 and 3,105.30 is: 4,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.82 : 14,017.18 = 3,105.30 : x
  2. Step 2: Convert to fraction form
    9,344.82/14,017.18 = 3,105.30/x
  3. Step 3: Cross multiply
    9,344.82x = 14,017.18 × 3,105.30
  4. Step 4: Simplify right side
    9,344.82x = 43,527,549.05
  5. Step 5: Solve for x
    x = 43,527,549.05/9,344.82
  6. Step 6: Final answer
    x = 4,657.93

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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.