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Finding the Fourth Proportional to 9,734.08, 14,612.04 and 3,894.76

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Solution

The fourth proportional to 9,734.08, 14,612.04 and 3,894.76 is: 5,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.08 : 14,612.04 = 3,894.76 : x
  2. Step 2: Convert to fraction form
    9,734.08/14,612.04 = 3,894.76/x
  3. Step 3: Cross multiply
    9,734.08x = 14,612.04 × 3,894.76
  4. Step 4: Simplify right side
    9,734.08x = 56,910,388.91
  5. Step 5: Solve for x
    x = 56,910,388.91/9,734.08
  6. Step 6: Final answer
    x = 5,846.51

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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.