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Finding the Fourth Proportional to 9,737.19, 14,608.21 and 2,811.69

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Solution

The fourth proportional to 9,737.19, 14,608.21 and 2,811.69 is: 4,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.19 : 14,608.21 = 2,811.69 : x
  2. Step 2: Convert to fraction form
    9,737.19/14,608.21 = 2,811.69/x
  3. Step 3: Cross multiply
    9,737.19x = 14,608.21 × 2,811.69
  4. Step 4: Simplify right side
    9,737.19x = 41,073,757.97
  5. Step 5: Solve for x
    x = 41,073,757.97/9,737.19
  6. Step 6: Final answer
    x = 4,218.24

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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.