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Finding the Fourth Proportional to 9,949.93, 13,732.86 and 5,703.84

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Solution

The fourth proportional to 9,949.93, 13,732.86 and 5,703.84 is: 7,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.93 : 13,732.86 = 5,703.84 : x
  2. Step 2: Convert to fraction form
    9,949.93/13,732.86 = 5,703.84/x
  3. Step 3: Cross multiply
    9,949.93x = 13,732.86 × 5,703.84
  4. Step 4: Simplify right side
    9,949.93x = 78,330,057.57
  5. Step 5: Solve for x
    x = 78,330,057.57/9,949.93
  6. Step 6: Final answer
    x = 7,872.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.