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Finding the Fourth Proportional to 9,191.63, 13,787.51 and 3,035.63

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Solution

The fourth proportional to 9,191.63, 13,787.51 and 3,035.63 is: 4,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.63 : 13,787.51 = 3,035.63 : x
  2. Step 2: Convert to fraction form
    9,191.63/13,787.51 = 3,035.63/x
  3. Step 3: Cross multiply
    9,191.63x = 13,787.51 × 3,035.63
  4. Step 4: Simplify right side
    9,191.63x = 41,853,694.87
  5. Step 5: Solve for x
    x = 41,853,694.87/9,191.63
  6. Step 6: Final answer
    x = 4,553.46

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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.