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Finding the Fourth Proportional to 9,302.45, 13,947.12 and 3,457.49

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Solution

The fourth proportional to 9,302.45, 13,947.12 and 3,457.49 is: 5,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.45 : 13,947.12 = 3,457.49 : x
  2. Step 2: Convert to fraction form
    9,302.45/13,947.12 = 3,457.49/x
  3. Step 3: Cross multiply
    9,302.45x = 13,947.12 × 3,457.49
  4. Step 4: Simplify right side
    9,302.45x = 48,221,958.19
  5. Step 5: Solve for x
    x = 48,221,958.19/9,302.45
  6. Step 6: Final answer
    x = 5,183.79

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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.