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Finding the Fourth Proportional to 9,884.94, 13,639.50 and 5,692.38

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Solution

The fourth proportional to 9,884.94, 13,639.50 and 5,692.38 is: 7,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.94 : 13,639.50 = 5,692.38 : x
  2. Step 2: Convert to fraction form
    9,884.94/13,639.50 = 5,692.38/x
  3. Step 3: Cross multiply
    9,884.94x = 13,639.50 × 5,692.38
  4. Step 4: Simplify right side
    9,884.94x = 77,641,217.01
  5. Step 5: Solve for x
    x = 77,641,217.01/9,884.94
  6. Step 6: Final answer
    x = 7,854.50

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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.