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Finding the Fourth Proportional to 8,734.44, 13,101.84 and 3,191.93

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Solution

The fourth proportional to 8,734.44, 13,101.84 and 3,191.93 is: 4,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.44 : 13,101.84 = 3,191.93 : x
  2. Step 2: Convert to fraction form
    8,734.44/13,101.84 = 3,191.93/x
  3. Step 3: Cross multiply
    8,734.44x = 13,101.84 × 3,191.93
  4. Step 4: Simplify right side
    8,734.44x = 41,820,090.64
  5. Step 5: Solve for x
    x = 41,820,090.64/8,734.44
  6. Step 6: Final answer
    x = 4,787.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.