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Finding the Fourth Proportional to 9,692.69, 14,513.65 and 6,350.43

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Solution

The fourth proportional to 9,692.69, 14,513.65 and 6,350.43 is: 9,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.69 : 14,513.65 = 6,350.43 : x
  2. Step 2: Convert to fraction form
    9,692.69/14,513.65 = 6,350.43/x
  3. Step 3: Cross multiply
    9,692.69x = 14,513.65 × 6,350.43
  4. Step 4: Simplify right side
    9,692.69x = 92,167,918.37
  5. Step 5: Solve for x
    x = 92,167,918.37/9,692.69
  6. Step 6: Final answer
    x = 9,509.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.