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Finding the Fourth Proportional to 9,467.85, 13,066.61 and 5,692.25

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Solution

The fourth proportional to 9,467.85, 13,066.61 and 5,692.25 is: 7,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.85 : 13,066.61 = 5,692.25 : x
  2. Step 2: Convert to fraction form
    9,467.85/13,066.61 = 5,692.25/x
  3. Step 3: Cross multiply
    9,467.85x = 13,066.61 × 5,692.25
  4. Step 4: Simplify right side
    9,467.85x = 74,378,316.98
  5. Step 5: Solve for x
    x = 74,378,316.98/9,467.85
  6. Step 6: Final answer
    x = 7,855.88

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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.