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Finding the Fourth Proportional to 9,191.86, 13,787.07 and 3,349.78

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Solution

The fourth proportional to 9,191.86, 13,787.07 and 3,349.78 is: 5,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.86 : 13,787.07 = 3,349.78 : x
  2. Step 2: Convert to fraction form
    9,191.86/13,787.07 = 3,349.78/x
  3. Step 3: Cross multiply
    9,191.86x = 13,787.07 × 3,349.78
  4. Step 4: Simplify right side
    9,191.86x = 46,183,651.34
  5. Step 5: Solve for x
    x = 46,183,651.34/9,191.86
  6. Step 6: Final answer
    x = 5,024.41

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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.