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Finding the Fourth Proportional to 9,734.96, 14,604.76 and 3,161.16

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Solution

The fourth proportional to 9,734.96, 14,604.76 and 3,161.16 is: 4,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.96 : 14,604.76 = 3,161.16 : x
  2. Step 2: Convert to fraction form
    9,734.96/14,604.76 = 3,161.16/x
  3. Step 3: Cross multiply
    9,734.96x = 14,604.76 × 3,161.16
  4. Step 4: Simplify right side
    9,734.96x = 46,167,983.12
  5. Step 5: Solve for x
    x = 46,167,983.12/9,734.96
  6. Step 6: Final answer
    x = 4,742.49

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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.