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Finding the Fourth Proportional to 9,969.45, 13,759.82 and 5,723.38

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Solution

The fourth proportional to 9,969.45, 13,759.82 and 5,723.38 is: 7,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.45 : 13,759.82 = 5,723.38 : x
  2. Step 2: Convert to fraction form
    9,969.45/13,759.82 = 5,723.38/x
  3. Step 3: Cross multiply
    9,969.45x = 13,759.82 × 5,723.38
  4. Step 4: Simplify right side
    9,969.45x = 78,752,658.50
  5. Step 5: Solve for x
    x = 78,752,658.50/9,969.45
  6. Step 6: Final answer
    x = 7,899.40

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Why These Related Problems?

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