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Finding the Fourth Proportional to 9,197.56, 12,692.82 and 5,662.36

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Solution

The fourth proportional to 9,197.56, 12,692.82 and 5,662.36 is: 7,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.56 : 12,692.82 = 5,662.36 : x
  2. Step 2: Convert to fraction form
    9,197.56/12,692.82 = 5,662.36/x
  3. Step 3: Cross multiply
    9,197.56x = 12,692.82 × 5,662.36
  4. Step 4: Simplify right side
    9,197.56x = 71,871,316.26
  5. Step 5: Solve for x
    x = 71,871,316.26/9,197.56
  6. Step 6: Final answer
    x = 7,814.17

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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.