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Finding the Fourth Proportional to 9,191.97, 13,777.02 and 3,341.79

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Solution

The fourth proportional to 9,191.97, 13,777.02 and 3,341.79 is: 5,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.97 : 13,777.02 = 3,341.79 : x
  2. Step 2: Convert to fraction form
    9,191.97/13,777.02 = 3,341.79/x
  3. Step 3: Cross multiply
    9,191.97x = 13,777.02 × 3,341.79
  4. Step 4: Simplify right side
    9,191.97x = 46,039,907.67
  5. Step 5: Solve for x
    x = 46,039,907.67/9,191.97
  6. Step 6: Final answer
    x = 5,008.71

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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.